Question

Multiply (x-1)(2x^2+x-2) and write the product in standard form

Answer 1

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