Question

Factorise 2x square +5 x+3
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Answer 1

1 Split the second term in 2{x}^{2}-5x-32x

2

−5x−3 into two terms.

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

2x

2

+x−6x−3

2 Factor out common terms in the first two terms, then in the last two terms.

x(2x+1)-3(2x+1)

x(2x+1)−3(2x+1)

3 Factor out the common term 2x+12x+1.

(2x+1)(x-3)

(2x+1)(x−3)