Find the sum of the polynomials. x 4 + 9 x 3 + 5 x + 7 8 x 3 − 2 x − 7 \begin{array} { r } x ^ { 4 } + 9 x ^ { 3 } + 5 x + 7 \8 x ^ { 3 } - 2 x - 7\\hline\end{array} x 4 + 9 x 3 + 5 x + 7 8 x 3 − 2 x − 7 A) x 4 + 17 x 3 + 3 x x ^ { 4 } + 17 x ^ { 3 } + 3 x x 4 + 17 x 3 + 3 x B) 17 x 3 + 3 x 17 x ^ { 3 } + 3 x 17 x 3 + 3 x C) 17 x 6 + x 4 + 3 x 2 17 x ^ { 6 } + x ^ { 4 } + 3 x ^ { 2 } 17 x 6 + x 4 + 3 x 2 D) x 4 + 17 x 3 + 3 x + 14 x ^ { 4 } + 17 x ^ { 3 } + 3 x + 14 x 4 + 17 x 3 + 3 x + 14 E) 17 x 6 + x 4 + 3 x 2 − 14 17 x ^ { 6 } + x ^ { 4 } + 3 x ^ { 2 } - 14 17 x 6 + x 4 + 3 x 2 − 14

Question

Find the sum of the polynomials.   x 4 + 9 x 3 + 5 x + 7 8 x 3 − 2 x − 7 \begin{array} { r } x ^ { 4 } + 9 x ^ { 3 } + 5 x + 7 \8 x ^ { 3 } - 2 x - 7\\hline\end{array} x 4 + 9 x 3 + 5 x + 7 8 x 3 − 2 x − 7 ​ ​ A)    x 4 + 17 x 3 + 3 x x ^ { 4 } + 17 x ^ { 3 } + 3 x x 4 + 17 x 3 + 3 x B)    17 x 3 + 3 x 17 x ^ { 3 } + 3 x 17 x 3 + 3 x C)    17 x 6 + x 4 + 3 x 2 17 x ^ { 6 } + x ^ { 4 } + 3 x ^ { 2 } 17 x 6 + x 4 + 3 x 2 D)    x 4 + 17 x 3 + 3 x + 14 x ^ { 4 } + 17 x ^ { 3 } + 3 x + 14 x 4 + 17 x 3 + 3 x + 14 E)    17 x 6 + x 4 + 3 x 2 − 14 17 x ^ { 6 } + x ^ { 4 } + 3 x ^ { 2 } - 14 17 x 6 + x 4 + 3 x 2 − 14

Hannah Mills · Accepted Answer

Final Answer : A, Explanation :   To find the sum, combine like terms:   x 4 x^4 x 4   remains unchanged,   9 x 3 + 8 x 3 = 17 x 3 9x^3 + 8x^3 = 17x^3 9 x 3 + 8 x 3 = 17 x 3  ,   5 x − 2 x = 3 x 5x - 2x = 3x 5 x − 2 x = 3 x  , and   7 − 7 = 0 7 - 7 = 0 7 − 7 = 0  , resulting in   x 4 + 17 x 3 + 3 x x^4 + 17x^3 + 3x x 4 + 17 x 3 + 3 x  .

Definitions

Learning Objectives

Learning Objectives

Related questions