Add the polynomials.

$(7{x}^{2}-6x+6)+(3{x}^{3}-9x)$

Yulia
2021-09-18
Answered

Add the polynomials.

$(7{x}^{2}-6x+6)+(3{x}^{3}-9x)$

You can still ask an expert for help

FieniChoonin

Answered 2021-09-19
Author has **102** answers

A polynomial in a variable x is a function of the form $a}_{n}{x}^{n}+{a}_{n-1}{x}^{n-1}+\dots +{a}_{1}x+{a}_{0$ . This polynomial has degree n. The constants $a}_{i$ are the coefficients and are constants.

To add two polynomials we add like terms, that is, add terms of the same degree. For example$2{x}^{2},4{x}^{2}$ are terms of the same degree but the terms $2{x}^{2},4{x}^{3}$ are terms of different degree.

The sum to be computed is$(7{x}^{2}-6x+6)+(3{x}^{3}-9x)$ . . Drop the parenthesis and combine like terms.

$(7{x}^{2}-6x+6)+(3{x}^{3}-9x)=7{x}^{2}-6x+3{x}^{3}-9x$

$=3{x}^{3}+7{x}^{2}+(-6x-9x)+6$

$=3{x}^{3}+7{x}^{2}-15x+6$

Hence, the sum is$3{x}^{3}+7{x}^{2}-15x+6$ .

To add two polynomials we add like terms, that is, add terms of the same degree. For example

The sum to be computed is

Hence, the sum is

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