Question

What is the expression is factored form? X^2 + 14x + 48

Answer 1

(x+6)(x+8)

Explanation:

We have given an expression.

x²+14x+48

We have to rewrite above expression in factored form.

Given expression is quadratic expression, use method of factoring.

Split the middle term of given expression so that the sum of two terms should be 14 and their product be 48.

8×6 = 48

8+6 = 14

x²+6x+8x+48

Make two groups and take common,

x(x+6)+8(x+6)

Take (x+6) as common

(x+6)(x+8)

Hence, the factored form of given expression is (x+6)(x+8).

Answer 2

Factored form of the expression is ( x+ 8)(x + 6).

Explanation:

The given expression is x² + 14x + 48.

We have to convert the expression in factored form

x² + 14x + 48 = x² + 8x +6x + 48

= x(x + 8) + 6(x + 8) = (x + 8)(x + 6)

Therefore the factored form of the expression is (x + 8)(x + 6).