Question

Multiply these polynomials and simplify. Enter your response in standard form (-6y + 8y4 – 5)(y2 – 11y)

Answer 1

Answer:  The required simplified answer in standard form is $8y^6-88y^5-6y^3+61y^2+55y.$

Step-by-step explanation:  We are given to multiply the following polynomials and write the answer is standard form :

$M=(-6y+8y^4-5)(y^2-11y)~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To multiply the given polynomials, we need to multiply each term of one polynomial to each term of the other polynomial.

From (i), we have

$M\\\\=(-6y+8y^4-5)(y^2-11y)\\\\=y^2(-6y+8y^4-5)-11y(-6y+8y^4-5)\\\\=-6y^3+8y^6-5y^2+66y^2-88y^5+55y\\\\=8y^6-88y^5-6y^3+61y^2+55y.$

Thus, the required simplified answer in standard form is $8y^6-88y^5-6y^3+61y^2+55y.$