SOLUTION: Find a cubic polynomial equation with roots –2, 2, and 4. A. x3 + 4x^2 – 4x + 16 = 0 C. 10x^3 – x^2 – x + 16 = 0 B. x3 – 4x^2 – x + 16 = 0 D. x^3– 4x^2 – 4x + 16 = 0

Algebra ->  Sequences-and-series -> SOLUTION: Find a cubic polynomial equation with roots –2, 2, and 4. A. x3 + 4x^2 – 4x + 16 = 0 C. 10x^3 – x^2 – x + 16 = 0 B. x3 – 4x^2 – x + 16 = 0 D. x^3– 4x^2 – 4x + 16 = 0      Log On


   

Question 982384: Find a cubic polynomial equation with roots –2, 2, and 4.
A. x3 + 4x^2 – 4x + 16 = 0 C. 10x^3 – x^2 – x + 16 = 0
B. x3 – 4x^2 – x + 16 = 0 D. x^3– 4x^2 – 4x + 16 = 0
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
a cubic polynomial equation with roots x%5B1%5D=-2, x%5B2%5D=2, andx%5B3%5D=+4:
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29
f%28x%29=%28x-%28-2%29%29%28x-2%29%28x-4%29
f%28x%29=%28x%2B2%29%28x-2%29%28x-4%29
f%28x%29=%28x%5E2-4%29%28x-4%29
f%28x%29=x%5E3-4x%5E2-4x%2B16

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+20%2C+x%5E3-4x%5E2-4x%2B16%29+
so, your answer is D. x%5E3-4x%5E2+-4x+%2B+16+=+0