Question

factorise the following using synthetic division method 3x^4-10x^3+5x^2+10x-8​ plz do it in division method​

Answer 1

Answer:

Solution

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Factorisation:

3x

4

−10x

3

+5x

2

+10x−8

=3x

4

−3x

3

−7x

3

+7x

2

−2x

2

+2x+8x−8

=3x

3

(x−1)−7x

2

(x−1)−2x(x−1)+8(x−1)

=(x−1)(3x

3

−7x

2

−2x+8)

=(x−1)(3x

3

+3x

2

−10x

2

−10x+8x+8)

=(x−1){3x

2

(x+1)−10x(x+1)+8(x+1)}

=(x−1)(x+1)(3x

2

−10x+8)

=(x−1)(x+1)(3x

2

−6x−4x+8)

=(x−1)(x+1){3x(x−2)−4(x−2)}

=(x−1)(x+1)(x−2)(3x−4)