Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Factories:
$a^2+14 x+45$
✓
Answer
To factories $a ^2+14 x +45$, we will find two number p and q such that $p + q =14$ and $pq =45$
Now，
$9+5=14 \text { And } 9 \times 5=45$
Splittiong the middle term $14 x$ in the given quadratic as $9 x+5 x$, we get:
$a^2+14 x+45=x^2+9 x+5 x+45$
$=\left(x^2+9 x\right)+(5 x+45)$
$=x(x+9)+5(x+9)$
$=(x+5)(x+9)$
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