What is the standard form of a polynomial #(4u^3 + 6u^2 + 7) + (6u^3 – 2u + 7)#?

1 Answer
Apr 12, 2016

#(4u^3+6u^2+7)+(6u^3-2u+7)=color(blue)(10u^3+6u^2-2u+14)#

Explanation:

#(4u^3+6u^2+7)+(6u^3-2u+7)#

Add the two polynomials by combining like terms.

#4u^3+6u^3+6u^2-2u+7+7=#

#10u^3+6u^2-2u+14#

The terms are arranged in order of exponents. This is a third order equation because the greatest exponent is #3#.