26) Factorise: x 3 + 13x2 + 32x + 20
Answers
Answered by
4
Answer:
= (x + 1) (x +2) (x + 10)
Step-by-step explanation:
= (x + 1)[x(x + 10) + 2(x + 10)] = (x + 1) (x +2) (x + 10) Hence, x3 + 13x2 + 32x + 20 = (x + 1) (x +2) (x + 10)
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Answered by
1
Answer:
(x + 1) (x +2) (x + 10)
Step-by-step explanation:
Let p(x) = x3 + 13x2 + 32x + 20
p(-1) = -1 + 13 - 32 + 20 = -33 + 33 = 0
Therefore (x + 1) is a factor of p(x).
On dividing p(x) by (x + 1) we get
p(x) (x + 1) = x2 + 12x + 20
Thus,
x3 + 13x2 + 32x + 20 = (x + 1)(x2 + 12x + 20)
= (x + 1) (x2 + 10x + 2x + 20)
= (x + 1)[x(x + 10) + 2(x + 10)]
= (x + 1) (x +2) (x + 10)
Hence, x3 + 13x2 + 32x + 20 = (x + 1) (x +2) (x + 10).
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