# CBSE Class 9 Answered

**Factorise The given Polynomial**

Asked by shaveta.rishabh | 09 Jul, 2019, 11:35: PM

Expert Answer

f(y) = y

^{3}- 7y + 6The constant term in f(y) is 6.

Factors of 6 = ± 1, ±2, ±3, ±6

f(-1) = (-1)

^{3}- 7(-1) + 6 = -1 + 7 + 6 = 12≠ 0f(1) = 0

Therefore by Factor theorem,

(y - 1) is a factor of f(y).

Divide f(y) by (y - 1) by using long division method.

→ y

^{3}- 7y + 6 = (y - 1)(y^{2}+ y - 6) = (y - 1)(y + 3)(y - 2)
Answered by Yasmeen Khan | 10 Jul, 2019, 10:28: AM

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