Question

question 2 of 5

select the correct answer.

what is the simplified form of this expression?

\\((-3x^2 + 2x - 4) + (4x^2 + 5x + 9)\\)

• \\(x^2 + 11x + 1\\)
• \\(x^2 + 7x + 5\\)
• \\(7x^2 + 7x + 5\\)
• \\(x^2 + 7x + 13\\)

Explanation:

⚡ Using what you learned: adding and subtracting polynomials

Step 1: Group like terms

Group the terms with the same exponent:

$$ (-3x^2 + 4x^2) + (2x + 5x) + (-4 + 9) $$

Step 2: Combine coefficients

Simplify each grouped set:

$$ (-3 + 4)x^2 + (2 + 5)x + (-4 + 9) $$

$$ 1x^2 + 7x + 5 $$

$$ x^2 + 7x + 5 $$

Answer:

\( x^2 + 7x + 5 \) (the second option)