Question

find the standard form polynomial that represents this product.
\\((6 - y - 4y^2)(-5 + 7y^2)\\)
enter the correct answer in the box.

Explanation:

Expand the product of the polynomials

$$ (6 - y - 4y^2)(-5 + 7y^2) = 6(-5 + 7y^2) - y(-5 + 7y^2) - 4y^2(-5 + 7y^2) $$

$$ = -30 + 42y^2 + 5y - 7y^3 + 20y^2 - 28y^4 $$

Combine like terms

$$ -28y^4 - 7y^3 + (42y^2 + 20y^2) + 5y - 30 $$

$$ = -28y^4 - 7y^3 + 62y^2 + 5y - 30 $$

Answer:

Find the standard form polynomial that represents this product.
\((6 - y - 4y^2)(-5 + 7y^2)\)
Enter the correct answer in the box.
<blank>\(-28y^4 - 7y^3 + 62y^2 + 5y - 30\)</blank>