Question

question 1
2 pts
add the polynomials: $(3x^2 + 5x - 2) + (4x^2 - 3x + 7)$.
a. $7x^2 + 2x + 5$
b. $7x^2 + 8x + 5$
c. $12x^2 + 2x + 5$
d. $x^2 + 8x + 5$
\bigcirc a
\bigcirc b
\bigcirc c
\bigcirc d

Explanation:

Step1: Combine like terms for \(x^2\)

\(3x^2 + 4x^2 = (3 + 4)x^2 = 7x^2\)

Step2: Combine like terms for \(x\)

\(5x - 3x = (5 - 3)x = 2x\)

Step3: Combine constant terms

\(-2 + 7 = 5\)

Step4: Combine all terms

Putting it together, we get \(7x^2 + 2x + 5\)

Answer:

A. \(7x^2 + 2x + 5\)