Question

Find a polynomial with a degree of 3 and the zeros 1, 7 & -4 with no other zeros

Answer 1

x³ - 4x² - 25x + 28

Explanation:

Step 1: Write out binomial linear factors

(x - 1)(x - 7)(x + 4)

Step 2: Expand

(x² - 8x + 7)(x + 4)

Step 3: Expand

x³ - 4x² - 25x + 28