Question

Factor x^2 +12x +36?

Answer 1

Answer:

-6 is the required value of x or zeroes of the polynomial.

Step-by-step explanation:

Explanation:

Given that, $x^2 + 12x + 36$

We solve this question with the help of the middle-term splitting method.

• We employ the sum and product form to divide the middle word. The quadratic equation can then be factored with ease.

• The middle term of the quadratic expression can be divided as the sum or difference of the two terms.

Step 1:

We have, $x^2 + 12x + 36$

By middle term splitting method,

⇒ $x^2 + 12x + 36$

⇒ $x^2 + 6x + 6x + 36$

⇒ x(x + 6) + 6(x + 6)

⇒(x + 6)(x+ 6)

x + 6 = 0

⇒x = -6

Final answer:

Hence,-6 is the required value of x or zeroes of the polynomial.

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