Question

Add. (6x3+3x2−2)+(x3−5x2−3)

Express the answer in standard form.

Answer 1

`{7x}^(3) - 2 {x}^(2) - 5`

Step-by-step 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.