add the polynomials for the following: (4x²+5x+6) +(3x²+9x)

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baxthum8's profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted on

When adding polynomials, you must make sure you only combine terms with the same degree.

Add:  `(4x^2 + 5x+6) + (3x^2 + 9x)`

First rearrange to place like terms together.

`(4x^2 + 3x^2) + (5x + 9x) + 6`

This will give:

`7x^2 + 14x + 6`

malkaam's profile pic

malkaam | Student, Undergraduate | (Level 1) Valedictorian

Posted on

(4x² + 5x + 6) + ( 3x² + 9x)

First the brackets need to opened, then we will add the similar numbers, such that x^2's will be added with one another and x's will be added with one another  

4x^2 + 5x + 6 + 3x^2 + 9x

7x^2 + 5x + 6 + 9x

7x^2 + 14x + 6. 

tonys538's profile pic

tonys538 | Student, Undergraduate | (Level 1) Valedictorian

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To add two polynomials in the variable x, add the coefficients of each of the powers of x. When adding (4x^2+5x+6) and (3x^2+9x) , first add the coefficients of x^2 of both the polynomials. This gives 4x^2 + 3x^2 = 7x^2.

Next, add the coefficients of x, this gives 5x + 9x = 14x. The number 6 does not have a corresponding term in the other polynomial.

This gives: 4x^2+5x+6 + 3x^2+9x = 7x^2 + 14x + 6

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