jmc

Question

Simplify (x^3+4x^2-7x+11)+(-4x^4-x^3+x^2+7x+3). Express your answer as a polynomial with the terms in order by decreasing degree.

Accepted Answer

We rearrange the sum to make it easier to collect like terms: align* &(x^3+4x^2-7x+11)+(-4x^4-x^3+x^2+7x+3) &=-4x^4+(1-1)x^3+(1+4)x^2+(-7+7)x+(11+3) &=-4x^4+5x^2+14. align*