Factorize
2x2 + 3x - 14
Solution
=
2x2 + 3x - 14. We split the middle term (+3x) to be (-4x + 7x).
=
2x2 - 4x + 7x – 14
(-3x)
= -8x + 5x.
=
(2x2 -4x) + (7x - 14) [ grouping
]
=
2x(x - 2) + 7(x - 2) [factoring out]
=
(2x + 7) (x - 2)
Hence 2x2
+ 3x – 14 = (2x + 7) (x - 2) answer.
TRY THIS…..
Factorize
3x2 - 2x – 16.
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