To find the sum of the polynomials (9 – 3x^2) and (-8x^2 + 4x + 5), we can simply combine like terms.
The expression that represents the sum of the polynomials is:
(9 - 3x^2) + (-8x^2 + 4x + 5)
To simplify the expression, we add the coefficients of like terms.
Starting with the x^2 terms, we have -3x^2 + (-8x^2), which gives us -11x^2.
Moving on to the x terms, we have 4x.
Finally, we have the constant terms, which add up to 14.
Putting it all together, the simplified expression is:
-11x^2 + 4x + 14
So, the expression -11x^2 + 4x + 14 represents the sum of the polynomials (9 – 3x^2) and (-8x^2 + 4x + 5).
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