The all zeros of the function and the polynomial as a product of linear factors has been obtained.
What is polynomial function?
In the polynomial function f(x), we find the zeros to be x = 2, x = -1, and x = 3.The zeros of a function refer to the values of the independent variable for which the function equals zero.
To find the zeros of a polynomial function and express it as a product of linear factors, follow these steps:
1. Write the polynomial function in its factored form.
2. Set each factor equal to zero and solve for the variable.
3. The solutions obtained in step 2 represent the zeros of the function.
For example, let's consider a polynomial function.
f(x) = x^3 - 2x^2 - 5x + 6.
To find the zeros, we can factor the polynomial as,
(x - 2)(x + 1)(x - 3)
Setting each factor equal to zero, we find the zeros to be,
x = 2, x = -1, and x = 3.
Therefore, the polynomial function f(x) can be expressed as a product of linear factors: f(x) = (x - 2)(x + 1)(x - 3).
This factorization represents a unique representation of the polynomial and ensures that it can be reconstructed accurately.
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10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial
Answer:
So what is the question? probably to describe the polynomial 10v^2 + 50. okay. the polynomial is a quadratic (it is to the 2nd power) and a binomial (2 terms).
State whether the triangles are similiar if so write a similarly statement for brainliest
Answer:
Step-by-step explanation:
The triangles are not similar.
can someone please help me I only have a few minutes
Answer:
(x + 8)(y - 3)
Step-by-step explanation:
Since you have a few minutes left, I will make this quick.
Focus on one letter within the trapezoid ABCD. Pick a certain letter that can correlate to trapezoid A'B'C'D'.
If we move B to B', we would notice it takes 8 skips,therefore (x + 8). If we do the same for y, we would notice it takes 3 skips down. Therefore (y - 3)
1. simplify the following fractions: 12/36
Answer:
1/3
Step-by-step explanation:
12/36 = 6/18 = 3/9 = 1/3
please simplfy 7x + 6 + 3x – 2 – 5x
Answer:
5x+4
Step-by-step explanation:
Answer:
5x + 4
Step-by-step explanation:
7 + 3 - 5 = 10 - 5 = 5x
6 - 2 = 4
5x + 4
(x^2+3x^2-kx-24)÷(x+3) what's the value of k??
Answer:
-4
Step-by-step explanation:
since x+3 is a factor of the polynomial (x^2+3x^2-kx-24), then;
x+3 = 0
x = -3
Substitute x = -3 into the polynomial
x^2+3x^2-kx-24 = 0
(-3)^2+3(-3)^2-(-3)k-24 = 0
9 + 27 + 3k - 24 = 0
36-24 + 3k = 0
12 = -3k
k = -12/3
k = -4
Hence the value of k is -4
Solve. Then, rewrite the complete number sentence in decimal form
Step-by-step explanation:
a)
6.9+1.1= 8
b)
9.9+2.45=12.35
[tex]12 \frac{35}{100} [/tex]
c)
2.4+8.9=11.3
[tex]11 \frac{3}{10} [/tex]
d)
6.37+7.7=14.07
[tex]14 \frac{7}{100} [/tex]
-2x^3+15x^2-22x-15; (x-3) polynomial function
Answer: Down Below
Step-by-step explanation: Solving for -2x^3 + 15x^2 - 22x - 15(x - 3) = 0
Standard form:
−2x3 + 15x2 − 37x + 45 = 0
Factorization:
−(2x − 9)(x2 − 3x + 5) = 0
Erik used 28 centimeters of tape to wrap 7 presents. How much tape will Erik need in all if he has to wrap 12 presents? Solve using unit rates.
Answer:
Length of tape required to wrap 12 presents is 48 centimeters.
Step-by-step explanation:
Length of tape required to wrap 7 presents = 28 centimeters
Length of tape required to wrap 1 present = [tex]\frac{28}{7}=4[/tex] centimeters
Therefore,
Length of tape required to wrap 12 presents = 12 × Length of tape required to wrap 1 present
= 12 × 4
= 48 centimeters
A room has a perimeter of 40 feet. The length is 4 less than 2 times the width. What are the dimensions of the room?
Answer:
First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.
Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.
Length = 12 feet
Width = 8 feet
Write an algebraic expression for three times the quantity q minus eleven
-20 2 -6 -18 4 -4 put them from least to greatest
Which number makes the equation true?
blank divided by eighteen equals one third
Question 13 options:
32
24
12
6
Answer:
6
Step-by-step explanation:
x/18 = 1/3
3x = 18
x = 6
Please help ❤️❤️❤️❤️❤️❤️❤️
Answer:
-3/7
Step-by-step explanation:
find two lattice points
the ones I found are (-3, 3) and (4, 0)
use the slope formula
(0-3)/(4-(-3)) = -3/7
please help this is algebra II
Answer:
m=5
Step-by-step explanation:
What is the equation for a line with a slope of 5 and a y-intercept of 11?
Answer:
y=5x+11
Step-by-step explanation:
the sum of two numbers is 84 and one of them is 12 more than the other what are the two numbers
I REALLY NEED HELP!!!!
Answer:
1 2/8 inches
Step-by-step explanation:
smallest = 2/8
largest = 1 4/8
difference = 1 2/8
What is the y-intercept
Answer:
-2
Step-by-step explanation:
hope this helps!!!!!!!?
Which of the following indicates that ABC and DEF are similar?
Answer:
The answer of the question is b
Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A, ΔABC ~ ΔDEF.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.
For the two triangles, we can denote the similarity ΔABC ~ ΔDEF.
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(3x3_10x=2x+20)=(x-3)
Answer:
is that 3 time 3 or it is 3x? do you meant minus by using underscore?
Step-by-step explanation:
Does the point (6, 0) satisfy the equation y = x + 6?
yes or no
Answer:
No.
Step-by-step explanation:
You have to replace the (6,0) with the equation at hand. So, since 6 is in the X spot and 0 is in the Y spot, the equation would then look like 0=6+6. The equation is false as you can see.
No, this point does not lie on the line y = x + 6.
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the equation of line as -
y = x + 6
For point (6, 0), we can write -
0 = 6 + 6
0 ≠ 12
Therefore, no, this point does not lie on the line -
y = x + 6
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Please please help asap!!! I will mark brainliest!!!
Answer:
The other angle is 63 if it is asking what I think it is asking
Step-by-step explanation:
If it is right can you mark brainliest
Answer:
63 or 72
Step-by-step explanation:
What is the range of the function shown on the graph above
What are the intercepts of the graphed function?
x-intercept = (0, –1) y-intercept = (0, –3)
x-intercept = (0, –1) y-intercept = (–3, 0)
x-intercept = (–1, 0) y-intercept = (0, –3)
x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!
Answer:
The first option.
Step-by-step explanation:
a rectangular garden measures 22.7 m by 16.6 m how many meters of fencing materials are needed to enclose it the fencing materials cost 12.50 per meter
Answer:
78.6m of fencing
That would cost $982.50
Step-by-step explanation:
Perimeter: 2(22.7)+2(16.6)=P
P = 78.6
Cost: 78.6*12.50
C = 982.50
Which of the following statements is NOT a property of parallelograms?
Opposite angles are congruent.
Opposite sides are parallel.
Parallelograms have 4 straight sides.
All sides are parallel.
Answer:its that all sides are parallell
Step-by-step explanation:
because it has two sets of parrallel sides all of them are not paralell
Answer:
All sides are parallel.
Step-by-step explanation:
shapes can't even be made if all the sides are parallel. The angles need to be added up to 360 degrees. There won't even be angles if all the lines are parallel. The opposite sides have to be parallel.
What is the slope of the line in the graph? HELPPPPPPPP WILL GIVE BRAINLYIST TO CORRECT ANSWER!!!!!
Answer:
(-1,1),(-2,-1)
Step-by-step explanation:
brainliest please
Which of the following could be the side lengths of a right triangle?
Question 1 options:
1 in, 2, in, 3 in
2 m, 5 m, 5 m
12 ft, 16 ft, 20 ft
3 in, 4 in, 6 in
Answer:
its C
Step-by-step explanation:
it cant be b because there would be no longest side
neither d or a because ive done the math for it
Target sells 3 apples $1.50 what is the cost of 20 apples
Answer:
$10
Step-by-step explanation:
1.50 divided by 3 = 0.50
0.50 x 20 = 10