Question

find the values of the unknown constants for the following polynomials. a)x^3-3x^2+4x+2=(x-1)(x^2-2x+a)+b

b)2x^3+Ax^2-8x-20=(x^2-4)(Bx+c)

c)ax^3+bx^2+cx+d=(4x+1)(2x-1)(3x+2) Please.I need a quick answer

Answer 1

Start with First One

(a) First Simplify

= (x-1) (x^2-2x+a)+b

you will get

= x^3 -3x^2+4x+2

Now compare it with LHS

you will get (a+2) =4

so you will get a =6

and b-a = 2

you will get B = 8

A= 6 and B=8