Question

what is the sum of the polynomials?\\((6x + 7 + x^2) + (2x^2 - 3)\\)\\(\bigcirc -x^2 + 6x + 4\\)\\(\bigcirc 3x^2 + 6x + 4\\)\\(\bigcirc 9x + 4\\)\\(\bigcirc 9x^2 + 4\\)

Explanation:

Step1: Rearrange by like terms

$(x^2 + 2x^2) + 6x + (7 - 3)$

Step2: Combine quadratic terms

$x^2 + 2x^2 = 3x^2$

Step3: Combine constant terms

$7 - 3 = 4$

Step4: Assemble the result

$3x^2 + 6x + 4$

Answer:

3x² + 6x + 4 (matches option: 3x²+6x+4)