Factorise : x^3 + 13x^2+32x+20
Answers
Answered by
2
The value of x
3
+13x
2
+32x+20 is
x
3
+x
2
+12x
2
+12x+20x+20
=x
2
(x+1)+12x(x+1)+20(x+1)
=(x−1)(x
2
+12x+20)
=(x−1)(x
2
+10x+2x+20)
=(x+1)[x(x+10)+2(x+10)]
=(x+1)(x+2)(x+10)
Answered by
4
Step-by-step explanation:
Expert Answer:
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)
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