Final answer:
To find the standard form polynomial that represents the product, distribute and combine like terms.
Step-by-step explanation:
To find the standard form polynomial that represents the product (6y^4y^2)(-5 + 7y^2), we can use the distributive property. First, distribute 6y^4y^2 to both terms inside the parentheses:
6y^4y^2(-5) + 6y^4y^2(7y^2)
= -30y^4y^2 + 42y^6
Combine like terms to get the polynomial in standard form:
-30y^4y^2 + 42y^6 = 42y^6 - 30y^6y^2 = 42y^6 - 30y^8
Learn more about Multiplying polynomials