To find the product of two binomials, we can use the distributive property. We need to multiply each term in the first binomial by each term in the second binomial.
(2x^2 + 6x - 8)(x + 3)
First, we multiply 2x^2 by x and 2x^2 by 3:
2x^3 + 6x^2
Next, we multiply 6x by x and 6x by 3:
6x^2 + 18x
Finally, we multiply -8 by x and -8 by 3:
-8x - 24
Putting it all together, we have:
2x^3 + 6x^2 + 6x^2 + 18x - 8x - 24
Combining like terms:
2x^3 + 12x^2 + 10x - 24
The product of 2x^2 + 6x - 8 and x + 3 in standard form is 2x^3 + 12x^2 + 10x - 24.
In STANDARD form express the following product of 2x^2 + 6x - 8 and x + 3. Show your work
1 answer