Question

Find the product of the given polynomials

Answer 1

Explanation:

Hope this Helps ;)

Answer 2

Option A:

`-2x^2+19x-24`

Explanation:

Given polynomials are (5x + 8 – 6x) and (4 + 2x –7).

Let us first simplify the expression:

Combine like terms.

(5x + 8 – 6x) = (5x – 6x + 8) = –x + 8

(4 + 2x –7) = (4 – 7 + 2x) = –3 + 2x

Product of (5x + 8 – 6x) and (4 + 2x –7)

= (5x + 8 – 6x)(4 + 2x –7)

= (–x + 8)(–3 + 2x)

Multiply each term of one expression with each term of the other expression.

= (–x)(–3) + (–x)(2x) + 8(–3) + 8(2x)

`=3x-2x^2-24+16x`

Combine like terms and add.

`=(3x+16x)-2x^2-24`

`=19x-2x^2-24`

Arranging the equation, starting with highest power.

`=-2x^2+19x-24`

Hence, the product of the two given polynomials is
`-2x^2+19x-24.`