Find the missing polynomial.
-$$\left( 7 x ^ { 5 } - 4 x ^ { 2 } + 2 x \right) + ? = 16 x ^ { 5 } + 2 x ^ { 2 } - 3 x$$
A) $9 x ^ { 5 } + 6 x ^ { 2 } - 5 x$
B) $9 x ^ { 5 } - 6 x ^ { 2 } + 5 x$
C) $9 x ^ { 5 } - 6 x ^ { 2 } - 5 x$
D) $9 x ^ { 5 } + 6 x ^ { 2 } + 5 x$

Question

Quizplus · Accepted Answer

To find the missing polynomial, we add the given polynomial to an unknown polynomial to equal the result on the right side of the equation. Solving for the unknown polynomial, we get $9 x ^ { 5 } + 6 x ^ { 2 } - 5 x$ by comparing coefficients for each power of $x$.

Find the Missing Polynomial (7x5−4x2+2x)+?=16x5+2x2−3x\left( 7 x ^ { 5 } - 4 x ^ { 2 } + 2 x \right) + ? = 16 x ^ { 5 } + 2 x ^ { 2 } - 3 x(7x5−4x2+2x)+?=16x5+2x2−3x

Find the Missing Polynomial $\left( 7 x ^ { 5 } - 4 x ^ { 2 } + 2 x \right) + ? = 16 x ^ { 5 } + 2 x ^ { 2 } - 3 x$