Factorise:
(i) x + 13x² + 32x + 20, if it is given that x + 2 is its
factor.
(ii) 4x' + 20x² + 33x + 18, if it is given that 2x + 3 is
its factor.
Answers
Answered by
2
Answer:
Step-by-step explanation:
(x+1)(x+2)(x+10)
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)
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