Question

Need help ASAP!

Answer 1

If (x-2) is a factor of f(x)=2*x^3+kx^2+5x-3, then
f(2)=0=>2*8+k*4+5*2-3=0
23=-k*4
k=-23/4

Answer 2

f(x)=3x+2
g(x)=x^2-1
g(f(x))=(3x+2)^2-1=9x^2+12x+3

Answer 3

2x^3+ax^2+bx-6
f(1)=12
f(4)=-18

2+a+b-6=12
a+b=16

128+16a+4b-6=-18
16a+4b=-140
4a+b=-35

4a+b=-35 and a+b=16
Then
3a=-51
a=-17

-17+b=16
b=33

2x^3-17x^2+33x-6