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erik [133]
3 years ago
15

How do I work out A & B ?

Mathematics
2 answers:
Sonja [21]3 years ago
4 0

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

melomori [17]3 years ago
4 0

Answer:

a)

(x + 2)(x + 3)

b)

x = 2 \: or \: x = 3

Step-by-step explanation:

a){x}^{2}  + 5x + 6

=  {x}^{2} + 2x + 3x + 6

= x(x + 2) + 3(x + 2)

= (x + 2)(x + 3)

b)

{x}^{2}  + 5x + 6 = 0

{x}^{2} + 2x + 3x + 6 = 0

x(x + 2) + 3(x + 2) = 0

(x + 2)(x + 3) = 0

so \: either \: x + 2 = 0 \: or \: x + 3 = 0

therefore \: x =  - 2 \: or \: x =  - 3

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