Question

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

Answer 1

Answer: 8y^6- 88y^5- 6y^3 +61y^2 +55y

Answer 2

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.`