Question

which expression can be used to find the sum of the polynomials?

\\((9 - 3x^2) + (-8x^2 + 4x + 5)\\)

• \\((-3x^2) + (-8x^2) + 4x + 9 + (-5)\\)
• \\(3x^2 + 8x^2 + 4x + 9 + (-5)\\)
• \\(3x^2 + (-8x^2) + 4x + 9 + 5\\)
• \\((-3x^2) + (-8x^2) + 4x + 9 + 5\\)

Explanation:

⚡ Using what you learned: adding and subtracting polynomials

Step 1: Identify and group like terms

Group the terms of the polynomials by their variable parts and exponents:

• \(x^2\) terms: \(-3x^2\) and \(-8x^2\)
• \(x\) terms: \(4x\)
• Constant terms: \(9\) and \(5\)

Step 2: Write the grouped expression

Combine the grouped terms using addition:

$$ [(-3x^2) + (-8x^2)] + 4x + [9 + 5] $$

Answer:

$$ [(-3x^2) + (-8x^2)] + 4x + [9 + 5] $$

(the fourth option)