Question

2x²+5x+2 middle term split
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Answer 1

Answer:

$(x + 2)(2x + 1)$

Step-by-step explanation:

$2 {x}^{2} + 5x + 2 \\ \\ = 2 {x}^{2} + x + 4x + 2 \\ \\ = x(2x + 1) + 2(2x + 1) \\ \\ = (x + 2)(2x + 1)$

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Answer 2

Answer:

$x = - 1 \: \: or \: \: - 2$

Step-by-step explanation:

${2x}^{2} + 5x + 2 \\ {2x}^{2} + 4x + x + 2 \\ 2x(x + 2) + 1(x + 2) \\ (x + 2)(2x + 1) \\ equating \: \: each \: \: to \: \: 0 \\ x + 2 = 0$

$x = - 2 \\ and \\ 2x + 2 = 0 \\ 2x = - 2 \\ x = \frac{ - 2}{2} \\ x = - 1$

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