Find the product
7x(-2x^2+x-4)
7X(-2X^2+X-4).
Multiply each term within the parenthesis by 7X:
-14X^3 + 7X^2 - -28X.
To find the product of 7x and (-2x^2 + x - 4), we need to distribute 7x across each term inside the parentheses.
First, distribute 7x across -2x^2:
7x * -2x^2 = -14x^3
Next, distribute 7x across x:
7x * x = 7x^2
Lastly, distribute 7x across -4:
7x * -4 = -28x
Putting it all together, the product of 7x and (-2x^2 + x - 4) is:
-14x^3 + 7x^2 - 28x