Answer:
2x^3 - x^2 - 3x + 2
x^4 - 2x^3 + 3x^2 - 4x +2
Step-by-step explanation:
Q13)
(x - 1)(2x^2 + x - 2)
First, distribute out the x in (x-1) to (2x^2 + x - 2)
x(2x^2)= 2x^3
x(x)= x^2
x(-2)= -2x
Next, distribute out the -1 in (x-1) to (2x^2 + x -2)
(-1)(2x^2)= -2x^2
(-1)(x)= -x
(-1)(-2)= 2
Now add up all these products:
2x^3 + x^2 - 2x -2x^2 - x +2
Collect like terms:
2x^3 + x^2 -2x^2 - 2x - x +2
Simplify by adding like terms to get final answer:
2x^3 - x^2 - 3x + 2
Q14)
Follow steps above to get the following answer
(x^2 + 2)(x^2 - 2x + 1)
= x^4 - 2x^3 + x^2 + 2x^2 - 4x + 2
= x^4 - 2x^3 + 3x^2 - 4x +2
