Gujarat BoardEnglish MediumSTD 8MATHSFactorization2 Marks
Question
Factories:
$x^2- 4x - 21$
✓
Answer
To factories $x^2- 4x - 21$, we will find two number p and q such that $p + q = -4$ and $pq = -21$
Now,
$3 + (-7) = -4$ And $3 x (-7) = -21$
Splittiong the middle term 14a in the given quadratic as $-7x + 3x,$ we get:
$x^2- 4x - 21 = x^2- 7x + 3x - 21$
$= (x2 - 7x) + (3x - 21)$
$= x(x - 7) + 3(x - 7)$
$= (x - 7)(x + 3)$
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