factorize :x3 + 13x2 + 32x + 20
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Answered by
11
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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Answered by
0
Answer:
xcu +13xsq +32x+ 20 =
Step-by-step explanation:
(x+1)(x+2)(x+10)
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