Question

Show that (x+4),(x-3) and (x-7) are factors of x³-6x²-19x+84​

Answer 1

Answer:

the correct answers is 5

Answer 2

Step-by-step explanation:

x

3

−6x

2

−19x+84

=x

3

+4x

2

−10x

2

−40x+21x+84

=x

2

(x+4)−10(x+4)+21(x+4)

=(x+4)(x

2

−10+21)

=(x+4)(x

2

−7x−3x+21)

=(x+4)[x(x−7)−3(x−7)]

=(x+4))(x−3)(x−7)