Question

Write a degree 3 polynomial with leading coefficient of 1 and zeros 5 3 -2

Answer 1

well you just need

f(x) = (x -5)(x -3)(x + 2)

then distribute and it will meet at the requirements

Answer 2

would 3x^2-7x+9 be my answer then? I am just confused on how to distribute and need a refresher.

Answer 3

nope... you'll have

\[(x^2 -8x + 15) \times ( x + 2) = x \times (x^2 -8x + 15) + 2\times (x^2 - 8x + 15)\]

so simplify this