How do you write this polynomial in factored form? x^3+7x^2+10x

x ∧3 + 7 x ∧ 2 + 10x=x (x+2) (x+5)

because:

Step 1:

After factoring out x we have:

x3 + 7 x2 + 10x=x (x2 + 7x+10)

Step 2:

Polynomial x2 + 7x+10 can be factored in 2 steps.

step 1: Solve quadratic equation x2 + 7x+10=0 by using step-by-step quadratic equation solver (opens new window).

The solutions are:

x1 = - 2

x2 = - 5

step2: Use formula for factoring quadratic equation:

a x2 + bx+c=a (x - x1) (x - x2)

Where x1 and x2 are solutions of quadratic equation. In our case we have:

x2 + 7x+10=1 (x - (-2)) (x - (-5)) that is

x2 + 7x+10 = (x+2) (x+5)