Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
Answer:
5/12
Step-by-step explanation:
5/6 divided by 2
= 5/6 divided by 2/1
= 5/6 x 1/2
= 5 x 1 over 6 x 2
= 5 over 6 x 2
= 5 / 12
Answer:
23 cm squared
Step-by-step explanation:
Split the shape into two shapes.
<u>Shape one:</u>
5 x 3 = 15 cm squared
<u>Shape two:</u>
7 - 3 = 4 (length of a side of the second shape)
4 x 2 = 8 cm squared
15 + 8 = 23 cm squared