What are the factors of the polynomial function?

Use the rational root theorem to determine the factors.

f (x) = x3+7x2+7x-15

Drag each factor of f (x) into the box.

Factors of f (x)

(x - 1) (x + 3) (x + 5)

Step-by-step explanation:

f (x) = x³ + 7x² + 7x - 15

Try factors of 15:

x = 1 is a root because

1³ + 7 (1) ² + 7 (1) - 15 = 0

Factor: (x - 1)

x = - 3 is a root because

(-3) ³ + 7 (-3) ² + 7 (-3) - 15 = 0

Factor: (x + 3)

x = - 5 is a root because

(-5) ³ + 7 (-5) ² + 7 (-5) - 15 = 0

Factor: (x + 5)

Real Factor: 1

Step-by-step explanation:

PRR: (+-1,+-3,+-5)

Substitute Each and solve individually through synthetic division.

First factor is (x-1)

Take it out of the original equation: (x-1) (x^2+x+15)

Use quadratic formula and there is no rational root.