Question

subtract the polynomials:
$(4x^{3}-2x^{2}+3x - 1)-(2x^{2}-6x - 5x^{4}-3x^{3}+7)$

select one:
a. $5x^{4}+7x^{3}-4x^{2}+9x - 8$
b. $5x^{4}+7x^{2}+4x^{2}+3x + 8$
c. $5x^{4}-7x^{3}-4x^{2}-9x + 8$
d. $-5x^{4}+x^{3}-3x + 6$

Explanation:

Step1: Distribute the negative sign

$(4x^3 - 2x^2 + 3x - 1) - 2x^2 + 6x + 5x^4 + 3x^3 - 7$

Step2: Group like terms

$5x^4 + (4x^3 + 3x^3) + (-2x^2 - 2x^2) + (3x + 6x) + (-1 - 7)$

Step3: Combine like terms

$5x^4 + 7x^3 - 4x^2 + 9x - 8$

Answer:

A. $5x^4 + 7x^3 - 4x^2 + 9x - 8$