which expression can be used to find the sum of the polynomials? (9 - 3x^2)+(-8x^2 + 4x + 5) \n○…

which expression can be used to find the sum of the polynomials? (9 - 3x^2)+(-8x^2 + 4x + 5) \n○ (-3x^2)+(-8x^2)+4x+9+(-5) \n○ 3x^2 + 8x^2+4x+9+(-5) \n○ 3x^2+(-8x^2)+4x+9 + 5 \n○ (-3x^2)+(-8x^2)+4x+9 + 5

which expression can be used to find the sum of the polynomials? (9 - 3x^2)+(-8x^2 + 4x + 5) \n○ (-3x^2)+(-8x^2)+4x+9+(-5) \n○ 3x^2 + 8x^2+4x+9+(-5) \n○ 3x^2+(-8x^2)+4x+9 + 5 \n○ (-3x^2)+(-8x^2)+4x+9 + 5

Answer

Explanation:

Step1: Combine like - terms

When adding polynomials, we combine like - terms. The like - terms in the polynomials ((9 - 3x^{2})+(-8x^{2}+4x + 5)) are the (x^{2}) terms ((-3x^{2}) and (-8x^{2})), the constant terms ((9) and (5)), and the (x) term ((4x)) remains as it is since there are no other (x) terms to combine with. The sum of the (x^{2}) terms is ((-3x^{2})+(-8x^{2})), the (x) term is (4x), and the sum of the constant terms is (9 + 5).

Answer:

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