$2 x^{2} + 5 x + 3 = ? (a) (x + 3) (2 x + 1) (b) (x + 1) (2 x + 3) (c) (2 x + 5) (x - 3) (d) n o n e o f t h e s e$

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Solution

$2 x^{2} + 5 x + 3 = 2 x^{2} + 2 x + 3 x + 3 ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} ∵ 2 \times 3 = 6 ∴ 6 = 2 \times 3 5 = 2 + 3 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭ = 2 x (x + 1) + 3 (x + 1) = (x + 1) (2 x + 3)$

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