Question

Factorise : x²+7x+12​

Answer 1

Answer:

${x}^{2} + (4 + 3)x + 12 \\ {x}^{2} + 4x + 3x + 12 \\x (x + 4) + 3(x + 4) \\ (x + 4)(x + 3)$

Answer 2

Given Equation

• x² + 7x + 12

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Solution

• By middle term spiliting.

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$\tt:\implies\: \: \: \: \: \: \: \: {x^2 + 7x + 12}$

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$\tt:\implies\: \: \: \: \: \: \: \: {x^2 + 4x + 3x + 12}$

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$\tt:\implies\: \: \: \: \: \: \: \: {x(x + 4) + 3(x + 4)}$

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$\tt:\implies\: \: \: \: \: \: \: \: {(x + 4) (x + 3)}$

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★ Finding roots, put p(x) = 0

$\tt\longmapsto{x + 4 = 0}$

$\tt\longmapsto{x = -4}$

or

$\tt\longmapsto{x + 3 = 0}$

$\tt\longmapsto{x = -3}$

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