Question

Factor 2x^2 + 7x+3
a: (2x+2)(x+1)
b:(2x+3)(x+1)
c:(2x+1)(x+3)
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Answer 1

Split the second term in 2x^2 + 7x + 3 into two terms

2x^2 + 6x + x + 3

Factor out the common terms in the first two terms, then in the last two terms;

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

Factor out the common term x + 3

= c: (2x + 1)(x + 3)