I think you mis-stated the problem.
Better go back and see just what the theorem says.
If f(x)=-4x^3 +5x^2 +8 and c=-2 is c a factor of x?(Use the Factor Theorem)
3 answers
It says, Use the Factor theorem to determine whether x-c is a factor of x:
f(x)=-4x^3 +5x^2 +8 and c=-2
That is what it says in the textbook
f(x)=-4x^3 +5x^2 +8 and c=-2
That is what it says in the textbook
No, what it says is (x-c) is a factor of f(x).
If (x-c) is a factor of f(x), then f(c) = 0
f(-2) = -4(-8)+5(4)+8 = 32+20+8 ≠ 0
So, (x+2) is not a factor of f(x).
You can check this out at calc101.com by clicking on the "long division" button and entering your polynomials.
If (x-c) is a factor of f(x), then f(c) = 0
f(-2) = -4(-8)+5(4)+8 = 32+20+8 ≠ 0
So, (x+2) is not a factor of f(x).
You can check this out at calc101.com by clicking on the "long division" button and entering your polynomials.
0 answers