randybando randybando
  • 15-06-2019
  • Mathematics
contestada

Add. (6x3+3x2−2)+(x3−5x2−3)

Express the answer in standard form.

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 15-06-2019

ANSWER

[tex]{7x}^{3} - 2 {x}^{2} - 5[/tex]

EXPLANATION

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

The polynomial expression is

[tex](6 {x}^{3} + 3 {x}^{2} - 2) + ( {x}^{3} - 5 {x}^{2} - 3)[/tex]

We group similar terms to get;

[tex]6 {x}^{3} + {x}^{3} + 3 {x}^{2} - 5 {x}^{2} - 3 - 2[/tex]

Combine similar terms

[tex]{7x}^{3} - 2 {x}^{2} - 5[/tex]

The polynomial above is in standard form.

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