What is the product of these polynomials (4-x^2) (x-x^3)?

Question

A. X^5-x^3+4x

B. X^5-4x^3+5x

C. X^5+5x^3+4x

D.x^5-5x^3+4

Answer 1

Multiply the terms uisng FOIL (First Outer Inner Last) method.

General form is (a + b) (c + d) = ac + ad + bc + bd.

(4-x²) (x-x³) = 4x + 4(-x³) + (-x²)x + (-x²)(-x³)

= 4x -4x³- x³ + x⁵

Combine like terms

= x⁵ - x³(4+1) + 4x

= x⁵ - 5x³ + 4x

Comments

Thank you!!!

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Option D is correct choice.

Answer 2

What is the product of these polynomials (4-x^2) (x-x^3)?

(4-x^2)(x-x^3)

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

(4x-4(x^3)-(x^3)+x^5)

4x-5(x^3)+(x^5)

there fore        x^5-5(x^3)+4x

Comments

Thank you!!!!!