word problem with x^3+6x^2-x-30 polynomial

Question

Compose word problem using polynomial function

Answer 1

Giiven polynomial x^3+6x^2-x-30

For x = 2

(2)^3+6(2)^2-2-30 = 8+24-2-30 = 0

(x-2) s a factor of given polynomial.

By synthetic division

 

 

X^2+8x+15 = 0

x^2+5x+3x+15 = 0

x(x+5)+3(x+5) = 0

(x+3)(x+5) = 0

x+3 = 0 and x+5 = 0

x = -3, x = -5

x^3+6x^2-x-30 = (x-2)(x+3)(x+5)

Solution of given polynomial x = 2,-3,-5.