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