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Factorisation by Regrouping Terms

Factorize: ...

Question

Factorize: $x^{2} - 15 x + 56$

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Solution

Given, $x^{2} - 15 x + 56$

$= x^{2} - 7 x - 8 x + 56$

$= x (x - 7) - 8 (x - 7)$

$= (x - 7) (x - 8)$

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Q. The two linear factors of

x^{2} - 15 x + 56

x^{2} + 15 x + 56

x^{2} - 15 x + 56

\frac{x^{2} + 11 x + 24}{x^{2} - 15 x + 56} \div \frac{x^{2} - x - 12}{x^{2} - 11 x + 28} .

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x^{2} + 15 x + 14

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Factorisation by Regrouping Terms

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