Question

subtract these polynomials.
(2x² + 4x + 3) − (4x² − 2x − 3) =
a. −2x² + 2x + 0
b. −2x² + 6x + 6
c. 6x² + 6x + 6
d. 6x² + 2x + 0

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial, we distribute the negative sign to each term inside the parentheses:
$(2x^2 + 4x + 3) - (4x^2 - 2x - 3) = 2x^2 + 4x + 3 - 4x^2 + 2x + 3$

Step2: Combine like terms

• For $x^2$ terms: $2x^2 - 4x^2 = -2x^2$
• For $x$ terms: $4x + 2x = 6x$
• For constant terms: $3 + 3 = 6$

Answer:

B. $-2x^2 + 6x + 6$