Is x + 9 a factor of the polynomial P (x) = x^3 + 11x^2 + 15x - 27? If so, write the polynomial as a product of two factors. If not, explain how you know.

Question

Mathematics

Martin Kim

23 March, 11:10

Is x + 9 a factor of the polynomial P (x) = x^3 + 11x^2 + 15x - 27? If so, write the polynomial as a product of two factors. If not, explain how you know.

+3

Answers (1)

Know the Answer?

Holden Galvan · Answer 1

(x + 9) (x² + 2x - 3)

Yes, x+9 a factor of p (x)

Step-by-step explanation:

x³ + 11x² + 15x - 27 = x² (x + 9) + (2x² + 15x - 27)

= x² (x + 9) + (x + 9) (2x - 3)

= (x + 9) (x² + 2x - 3)