Question

Plz answer this question ​

Answer 1

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The answer is (2x + 3)(x + 1)

Step-by-step explanation:

$2 {x}^{2} + 5x + 3 \\ \\ 2 {x}^{2} + 2x + 3x + 3 \\ \\ 2x(x + 1) + 3(x + 1) \\ \\ (2x + 3)(x + 1)$

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Answer 2

Given

• 2x² + 5x + 3

To find

• Factors

Solution

→ Sum and product rule :-

→ 2x² × 3 = 6x²

→ +2x +3x are factors of +5x as 2×3 = 6 and 2+3 = 5

• 2x² + 2x + 3x + 3
• 2x (x + 1) + 3 (x + 1)
• (2x + 3) (x + 1)

∴ (2x + 3) and (x + 1) are the factors of 2x² + 5x + 3