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Rainbow [258]
3 years ago
9

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 2, negative 1, and 2

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
6 0
Hello,

A cubic polynomial with -2,1,2 as roots is
f(x)=k*(x+2)(x+1)*(x-2)=k(x²-4)(x+1)=k(x^3+x²-4x-4)

Looking the answers ==>k=1


==>Answer A
vitfil [10]3 years ago
3 0

Answer:

f(x)=x^3+x^2-4x-4

Step-by-step explanation:

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 2, negative 1, and 2

x intercepts are -2, -1, 2

We write the x intercepts in factor form

f(x)= (x-p)(x-q)(x-r)

where p, q and r  are the x intercepts

f(x)= (x-(-2))(x-(-1))(x-2)

f(x)= (x+2)(x+1)(x-2)

now we multiply the parenthesis using FOIL method

(x+2)(x+1)= x^2 +2x+x+2= x^2+3x+2

f(x)= (x^2+3x+2)(x-2)

now we multiply with (x-2)

x^3-2x^2 +3x^2-6x+2x-4

combine like terms

f(x)=x^3+x^2-4x-4

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marshall27 [118]

Answer:

x = 22

Step-by-step explanation:

(x+1)+(3x+1) = 4x+2

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Solve for x:

4 x + 2 = 90

Subtract 2 from both sides:

4 x + (2 - 2) = 90 - 2

2 - 2 = 0:

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90 - 2 = 88:

4 x = 88

Divide both sides of 4 x = 88 by 4:

(4 x)/4 = 88/4

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The gcd of 88 and 4 is 4, so 88/4 = (4×22)/(4×1) = 4/4×22 = 22:

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user100 [1]

9514 1404 393

Answer:

  • J = [12] +A
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Step-by-step explanation:

If Anna's age is represented by A, then 12 more than Anna's age will be ...

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Jason's age is said to be 12 more than Anna's age, so ...

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The sum of their ages will be J + A. That is said to be 50, so ...

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These equations can be solved by using the first to substitute for J in the second.

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Answer:

If line EF was dilated by a scale of 1/2 from the origin to get line E'F', then if line E'F' is dilated by a scale of 2 from the origin, EF is obtained. Also, the length of EF is double than the length of E'F'.

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