Question

Factor 3x^5+18x^4-21x^3=0?

Answer 1

The Polynomial Equation is .

Re-write the equation by taking out the common factors as

Then 3x³ = 0 and x²+6x-7 = 0

If 3x³ = 0 then roots of the polynomial are 0, 0 and 0.

Roots of the Quadratic Equation is to be found.

x²+6x-7 = 0

x² + 7x - x - 7 = 0

x (x + 7) - 1(x + 7) = 0

(x + 7) (x - 1) = 0

x = -7 and 1.

Then roots of the x²+6x-7 = 0 are -7 and 1.

Therefore the roots of the polynomial are 0, 0, 0, 1 and -7.