Express the product of 2x^2+6x-8 and x+3 in standard form.
To find the product of 2x^2+6x-8 and x+3, we can use the distributive property of multiplication.
(2x^2+6x-8)(x+3) = 2x^2(x) + 2x^2(3) + 6x(x) + 6x(3) - 8(x) - 8(3)
= 2x^3 + 6x^2 + 6x^2 + 18x - 8x - 24
Rearranging the terms, we get:
2x^3 + 12x^2 + 10x - 24
Therefore, the product of 2x^2+6x-8 and x+3 in standard form is:
2x^3 + 12x^2 + 10x - 24