Question

When we factorise x² + 5x + 6, then we get:

a. (x + 2) (x + 3)
b. (x – 2) (x – 3)
c. (x × 2) + (x × 3)
d. (x × 2) – (x × 3)​

Answer 1

Answer:

Given:-

• x² + 5x + 6

According to Question:-

• x² + 5x + 6

$\Rightarrow$x2 + 3x + 2x + 6

$\Rightarrow$x(x + 3) + 2(x + 3)

$\Rightarrow$(x + 3)(x + 2)

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When we factorise x² + 5x + 6, then we get:

$\rm\underline\bold{A)\: (x + 2) (x + 3) \red{\huge{\checkmark}}}$

b. (x – 2) (x – 3)

c. (x × 2) + (x × 3)

d. (x × 2) – (x × 3)

Answer 2

Question :

When we factorise x² + 5x + 6, then we get:

a. (x + 2) (x + 3)

b. (x – 2) (x – 3)

c. (x × 2) + (x × 3)

d. (x × 2) – (x × 3)

Answer :

a. (x + 2) (x + 3)

Step-by-step explanation :

Factorisation of x² + 5x + 6 is as follows :

x² + 5x + 6

= x² + (2 + 3)x + 6

= x² + 2x + 3x + 6

= x(x + 2) + 3(x + 6)

= (x + 2) (x + 3)

Hence,

a. (x + 2) (x + 3) ✓ is the right option

b. (x – 2) (x – 3)

c. (x × 2) + (x × 3)

d. (x × 2) – (x × 3)

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