Ask Question
5 July, 20:50

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

+4
Answers (1)
  1. 6 July, 00:03
    0
    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)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “How do you write this polynomial in factored form? x^3+7x^2+10x ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers