Question

Factor the following trinomial:

Answer 1

D

Explanation:

Given

n² - n - 42

Consider the factors of the constant term (- 42) which sum to give the coefficient of the n- term (- 1)

The factors are - 7 and + 6 , since

- 7 × + 6 = - 42 and - 7 + 6 = - 1 , then

n² - n - 42 = (n - 7)(n + 6) ← in factored form

Answer 2

Solution :-

Given,

• n^2 - n - 42

We need to factorise it.

So let's start !!

Two factors are -7 and 6.

Therefore,

• n^2 - 7n + 6n - 42
• n (n - 7) + 6 (n - 7)
• (n - 7) (n + 6)