Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Factories: $x^2-11 x-42$
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Answer
To factories $x^2-11 x-42$, we will find two number $p$ and $q$ such that $p+q=-11$ and $p q=-42$ Now,
$3+(-14)=-22$ And $3 \times(-14)=42$
Splittiong the middle term $-11 x$ in the given quadratic as $-14 x+3 x$, we get:
$x^2-11 x-42=x^2-14 x+3 x-42$
$=\left(x^2-14\right)+(3 x-42)$
$=x(x-14)+3(x-14)$
$=(x-14)(x+3)$
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