Question

check whether x-10 is a factor of x3-23x2+142x-120​

Answer 1

Step-by-step explanation:

x

3

−x

2

−22x

2

+22x+120x+120

x^{2} (x-1)-22x(x-1)+120(x-1)x

2

(x−1)−22x(x−1)+120(x−1)

(x-1) ( x^{2} -22x+120)(x−1)(x

2

−22x+120)

(x-1) ( x^{2} -12x-10x+120)(x−1)(x

2

−12x−10x+120)

(x-1) (x(x-12)-10(x-12))(x−1)(x(x−12)−10(x−12))

(x-1) (x-10) (x-12)(x−1)(x−10)(x−12)