sum of the polynomials (4x3 − 2x − 9) + (2x3 + 5x + 3)
To find the sum of two polynomials, we simply combine like terms.
(4x3 − 2x − 9) + (2x3 + 5x + 3)
= (4x3 + 2x3) + (-2x + 5x) + (-9 + 3)
= 6x3 + 3x - 6
Therefore, the sum of the polynomials (4x3 − 2x − 9) and (2x3 + 5x + 3) is 6x3 + 3x - 6.
To find the sum of the polynomials (4x^3 − 2x − 9) + (2x^3 + 5x + 3), you need to combine like terms.
The given polynomials have terms with the same degree. Therefore, you can add the coefficients of the like terms.
Step 1: Add the like terms with x^3:
(4x^3 + 2x^3) = 6x^3
Step 2: Add the like terms without any variables:
(-2x + 5x) = 3x
Step 3: Add the constant terms:
(-9 + 3) = -6
Therefore, the sum of the polynomials is:
6x^3 + 3x - 6.