P(x) = 2x -1 Q(x) = - x^(3) + x^(2) - x + 4 Solve for: Q(x) - -x^(2) * P(x)

Question

P(x) = 2x -1

Q(x) =
`- x^(3) + x^(2) - x + 4`

Solve for:

Q(x) -
`-x^(2)` * P(x)

Answer 1

c. -3x^3 + 2x^2 − x + 4

Explanation:

given

P(x) = 2x -1

Q(x) = -x^3 + x^2 - x + 4

Q(x) -x^2 * P(x)

= -x^3 + x^2 - x + 4 - x^2*(2x - 1)

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

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

ans is C

Answer 2

Answer: -3x³ +2x² - x + 4

Explanation:

• Q(x) = -x³ + x² - x + 4
• P(x) = 2x - 1
• -x² * P(x) = -x²(2x - 1) = -2x³ + x²

Q(x) - x² * P(x)

= (-x³ + x² - x + 4) + (-2x³ + x²)

= -3x³ +2x² - x + 4