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# Help asap

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Suppose \$p(x)\$ is a function such that \$p(x) + (x^5+3x^3+9x) = (7x^3+24x^2+25x+1)\$. Express \$p(x)\$ as a polynomial with the degrees of the terms in decreasing order.

Apr 8, 2018

### Best Answer

#1
+3

p(x) + (x5 + 3x3 + 9x)  =  (7x3 + 24x2 + 25x + 1)

Subtract  (x5 + 3x3 + 9x)  from both sides of the equation.

p(x)  =  (7x3 + 24x2 + 25x + 1)  -  (x5 + 3x3 + 9x)

p(x)  =  7x3 + 24x2 + 25x + 1 - x5 - 3x3 - 9x

p(x)  =  -x5 + 7x3 - 3x3 + 24x2 + 25x - 9x + 1

p(x)  =  -x5 + 4x3 + 24x2 + 16x + 1

Apr 8, 2018

### 1+0 Answers

#1
+3
Best Answer

p(x) + (x5 + 3x3 + 9x)  =  (7x3 + 24x2 + 25x + 1)

Subtract  (x5 + 3x3 + 9x)  from both sides of the equation.

p(x)  =  (7x3 + 24x2 + 25x + 1)  -  (x5 + 3x3 + 9x)

p(x)  =  7x3 + 24x2 + 25x + 1 - x5 - 3x3 - 9x

p(x)  =  -x5 + 7x3 - 3x3 + 24x2 + 25x - 9x + 1

p(x)  =  -x5 + 4x3 + 24x2 + 16x + 1

hectictar Apr 8, 2018