The correct option is B (3x + 2)(x + 1)Factors of 6 are 1× 6, 3× 2 Suitable factors of 6 whose sum is 5 and product is 6 are 3 and 2. Therefore, 3x^2+5 ...

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Standard IX

Mathematics

Introduction to Factorization

Factorize 3...

Question

Factorize $3 x^{2} + 5 x + 2$

(x + 2)(x + 3)

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(3x + 2)(x + 1)

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(3x + 1)(x +2)

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(x + 2)(2x + 3)

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Solution

The correct option is B (3x + 2)(x + 1)
Factors of 6 are $1 \times 6, 3 \times 2$
Suitable factors of 6 whose sum is 5 and product is 6 are 3 and 2. Therefore,
$3 x^{2} + 5 x + 2 = 3 x^{2} + 3 x + 2 x + 2$
$= 3 x (x + 1) + 2 (x + 1)$
$= (3 x + 2) (x + 1)$

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Factorize 3x2+5x+2

The correct option is B (3x + 2)(x + 1)Factors of 6 are 1×6,3×2Suitable factors of 6 whose sum is 5 and product is 6 are 3 and 2. Therefore,3x2+5x+2=3x2+3x+2x+2=3x(x+1)+2(x+1)=(3x+2)(x+1)

Factorize $3 x^{2} + 5 x + 2$

The correct option is B (3x + 2)(x + 1)
Factors of 6 are $1 \times 6, 3 \times 2$
Suitable factors of 6 whose sum is 5 and product is 6 are 3 and 2. Therefore,
$3 x^{2} + 5 x + 2 = 3 x^{2} + 3 x + 2 x + 2$
$= 3 x (x + 1) + 2 (x + 1)$
$= (3 x + 2) (x + 1)$