Question

What numbers go in the gaps to factorise this expression
k squared+6k+8=(k+_)(k+_)

Answer 1

To factorize the expression k^2 + 6k + 8, we need to determine the numbers that go in the gaps (represented by +_) to get two binomial factors. The factored form of the given expression is (k + 2)(k + 4).

Step-by-step explanation:

To factorize the expression k2 + 6k + 8, we need to determine the numbers that go in the gaps (represented by +_) to get two binomial factors.

First, we need to find two numbers that multiply to give 8 (the constant term) and add up to give 6 (the coefficient of the middle term). The two numbers are 2 and 4 because 2 * 4 = 8 and 2 + 4 = 6.

Therefore, the factored form of the given expression is (k + 2)(k + 4).