factorise:x³-8²+17x-10
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Answer:
ifx=1
x3−8x2+17−10
(1)3−8(1)2+17(1)−10
1−8+17−10
18−18
=0
sox=1
x−1
x−1)x3−8x2+17x−10(x2−7x+10
x3−x2
−+
−7x2+17x
−7x2+7x
+−
10x−10
10x−10
−+
0
(x-1)(x2-7x+10)
(x-1)(x2-5x-2x+10)
(x-1)[x(x-5)-2(x-5]
(x-1)(x-2)(x-5)
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