Can yall help me out

Devon wanted to know if x−3 is a factor of f(x)=x^3+x^2−10x+8. She applied the Factor Theorem and concluded that x−3 is not a factor of f(x), as shown in the following work.

f(−3)=(−3)^3+(−3)^2−10(−3)+8=20
f(−3)=20, so the remainder is 20.
The remainder is 20, so x−3 is not a factor of f(x).

Did Devon make a mistake? If so, what was her mistake?

A. Yes, x−3 is a factor of f(x).
B. Yes, Devon evaluated f(−3) incorrectly.
C. No, Devon did not may any mistakes.
D. Yes, Devon should have evaluated f(3).
E, Yes, f(−3)=20 does not mean the remainder is 20.

Option D, Yes, Devon should have evaluated f(3)

Step-by-step explanation:

f(x) = x^3 + x^2 − 10x + 8

Step 1:  Evaluate using F(3) NOT f(-3)

f(3) = 3^3 + 3^2 - 10(3) + 8

f(3) = 27 + 9 - 30 + 8

f(3) = 14

Since the factor is (x - 3) the x value is x - 3 + 3 = 0 + 3 -> x = 3 not x = -3

 Option D, Yes, Devon should have evaluated f(3)

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

20

step-by-step explanation: