Question

Add. (6x3+3x2−2)+(x3−5x2−3) Express the answer in standard form.

Answer 1

ANSWER

${7x}^{3} - 2 {x}^{2} - 5$

EXPLANATION

A simplified polynomial is said to be in standard form if it is in descending powers of x.

The polynomial expression is

$(6 {x}^{3} + 3 {x}^{2} - 2) + ( {x}^{3} - 5 {x}^{2} - 3)$

We group similar terms to get;

$6 {x}^{3} + {x}^{3} + 3 {x}^{2} - 5 {x}^{2} - 3 - 2$

Combine similar terms

${7x}^{3} - 2 {x}^{2} - 5$

The polynomial above is in standard form.