Question

15/40
subtract the polynomials.
(3x³ + 3x² + 5) - (x³ - 2x² + x - 4)
4x³ + 5x² + 9
2x³ + 5x² - x + 9
2x³ + 1x - 1x² - 1
2x⁶ +5x⁵ - 1x - 1

Explanation:

Step1: Distribute the negative sign

$(3x^3 + 3x^2 + 5) - x^3 + 2x^2 - x + 4$

Step2: Combine like $x^3$ terms

$3x^3 - x^3 = 2x^3$

Step3: Combine like $x^2$ terms

$3x^2 + 2x^2 = 5x^2$

Step4: Isolate the $x$ term

$-x$

Step5: Combine constant terms

$5 + 4 = 9$

Step6: Assemble the result

$2x^3 + 5x^2 - x + 9$

Answer:

B. $2x^3 + 5x^2 - x + 9$