To find the product of the two polynomials, we will multiply each term of the first polynomial by each term of the second polynomial and combine like terms.
First, let's write out the two polynomials as shown:
2x^2 + 3x
× (4x^2 - 2x - 1)
Now, let's multiply each term:
2x^2 * (4x^2 - 2x - 1) = 8x^4 - 4x^3 - 2x^2
3x * (4x^2 - 2x - 1) = 12x^3 - 6x^2 - 3x
Now, let's combine the like terms:
8x^4 + (-4x^3 + 12x^3) + (-2x^2 - 6x^2) + (-3x) = 8x^4 + 8x^3 - 8x^2 - 3x
Therefore, the product of the two polynomials (2x^2 + 3x)(4x^2 - 2x - 1) is:
8x^4 + 8x^3 - 8x^2 - 3x
Using a table, What is the product of the two polynomials shown?
(2x^2+3x) (4x^2-2x-1)
1 answer