Question

subtract the polynomials. (hint: do this on paper) (7x² - 5x + 2) - (-3x² + 6x - 14)

Explanation:

Step1: Distribute the negative sign

$(7x^2 - 5x + 2) + 3x^2 - 6x + 14$

Step2: Combine like $x^2$ terms

$7x^2 + 3x^2 = 10x^2$

Step3: Combine like $x$ terms

$-5x - 6x = -11x$

Step4: Combine constant terms

$2 + 14 = 16$

Step5: Assemble the final polynomial

$10x^2 - 11x + 16$

Answer:

$10x^2 - 11x + 16$