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

Question

2125 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-12T22:08:12

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

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

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 $3$ .

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