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CBSE Class 9 Answered

Factorise: 2x3 + 7x2 - 3x - 18.
Asked by Topperlearning User | 16 Aug, 2012, 10:13: AM
answered-by-expert Expert Answer

p(x) = 2x3 + 7x2 - 3x - 18

consider, p(1) = 2 + 7 - 3 - 18 0

p(-1) = -2 + 7 + 3 - 18 0

p(2) = 16 + 28 - 6 - 18 0

p(-2) = -16 + 28 + 6 - 18 = 0

(x + 2) is a factor of p(x).

p(x) = (x + 2) (2x2 + 3x - 9)

= (x + 2) (2x2 + 6x - 3x - 9)

= (x + 2) (2x (x + 3) - 3 (x + 3)

= (x + 2) (x + 3) (2x - 3)

Answered by | 16 Aug, 2012, 12:13: PM

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