Question

Factor the trinomial below.

x2 + 7x – 30

A. (x – 6)(x + 5)
B. (x – 10)(x + 3)
C. (x – 5)(x + 6)
D. (x – 3)(x + 10)

Answer 1

factors of 30 are 10 and 3
10-3 = 7
x^2+10x-3x-30
X(X+10)-3(X+10)
(X+10)(x-3)
option D is correct

Answer 2

The factorization is  (x – 3)(x + 10).

the correct option is (D)

What is factorization?

Factoring quadratics is a method of expressing the quadratic equation

ax²+  bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax² + bx + c = 0.

This method is also is called the method of factorization of quadratic equations. Factorization of quadratic equations can be done using different methods such as splitting the middle term, using the quadratic formula, completing the squares, etc.

Given:

x² + 7x – 30

=x² + 10x -3x – 30

=x ( x+10) -3 ( x+ 10)

= (x + 10) (x - 3)

= (x – 3)(x + 10)

Hence, the factorization is (x – 3)(x + 10).

Learn more about factorization here:

https://brainly.com/question/1863222

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