Question

Sparx Reader - Error 3A ✓ 3B X 3C 3D Bookwork code: 3B S Sparx Maths Second Chance! Review your working and see if you can correct your mistakes Calculator not allowed Summary Watch video What numbers go in the gaps to factorise the expression? t² +9t + 14 = (t +_) (t +_) Ans​

Answer 1

To factorize the quadratic expression t² + 9t + 14, we look for two numbers that add to 9 and multiply to 14, which are 2 and 7. Thus, the factorized expression is (t + 2)(t + 7).

Step-by-step explanation:

The question is asking about factoring a quadratic expression of the form t² + 9t + 14. To factorize this expression, we need to find two numbers that both add up to the coefficient of the middle term (9 in this case) and multiply together to give the constant term (14). We solve this by setting up two binomials whose product is the original quadratic expression. Those two numbers are 2 and 7 because 2 + 7 equals 9 and 2 × 7 equals 14. Therefore, the completely factorized form of the expression is (t + 2)(t + 7).

Answer 2

The expression t² + 9t + 14 can be factorised as (t + 2)(t + 7), because 2 and 7 add up to 9 and multiply to 14.

Step-by-step explanation:

To factorise the expression t² + 9t + 14, you want to find two numbers that add up to 9 and multiply to give 14. These numbers will fill the gaps in the expression (t + _)(t + _).

Let's look for two numbers that meet these criteria:

• The numbers 2 and 7 add up to 9 (2 + 7 = 9).
• The same numbers, 2 and 7, multiply together to give 14 (2 × 7 = 14).

Therefore, the factored form of the expression t² + 9t + 14 is (t + 2)(t + 7).