Question

Which polynomial represents the difference below?

(8x? + 9) - (3x2 + 2x+5)
A. 5x2 - 2x+4
B. 11x2 - 2x+4
c. 5x2 - 2x+ 14
D. 11x2+2x+14

Answer 1

The difference for the given polynomial is
`{5x^2-2x+4}`

Step-by-step explanation:

The given polynomial is
`(8x^2+9)-(3x^2+2x+5)`

A polynomial is generally a sum or difference of terms or variables which are separated by addition and subtraction signs. There are "three types of polynomial": Monomial, binomial and trinomial.

The difference between is found as follows:

D =
`(8x^2+9)-(3x^2+2x+5)`

Removing the brackets, we get,

D =
`8x^2+9-3x^2-2x-5`

D =
`5x^2+4-2x`

D =
`5x^2-2x+4`

Thus, the polynomial represents Option A as the difference.