Question

add the polynomials: \\((6x^2 - 3x + 4) + (2x^2 + 9x - 1)\\) \\(4x^2 + 6x + 3\\) \\(8x^2 + 12x - 5\\) \\(8x^2 + 6x + 3\\) \\(8x^2 - 12x + 5\\)

Explanation:

Step1: Combine \(x^2\) terms

Add coefficients of \(x^2\): \(6x^2 + 2x^2 = 8x^2\)

Step2: Combine \(x\) terms

Add coefficients of \(x\): \(-3x + 9x = 6x\)

Step3: Combine constant terms

Add constants: \(4 + (-1) = 3\)

Step4: Form the result

Combine all terms: \(8x^2 + 6x + 3\)

Answer:

The correct option is the third one: \(8x^2 + 6x + 3\) (the option with \(8x^2 + 6x + 3\))