Question

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), wh

O 2x-3
2x+3
O 3x-2
O 3x+2

Answer 1

2x+3

Explanation:

if we need to find any polynomial factor you need to do

2x^2 +5x +3 is divided by the known factor x+1

if you have cas calculator

go to menu- algebra- factor -type the 2x^2 +5x +3

the answer will be 2x+3

Answer 2

the second factor is 2x+3

Second option is correct.

Explanation:

The given polynomial is
`2x^2+5x+3`

One factor of polynomial is
`x+1`

It means that this factor completely divide the polynomial and the quotient would be the second factor.

Therefore, second factor is given by

`(2x^2+5x+3)/(x+1)`

Numerator can be factored as

`2x^2+5x+3\\\\=2x^2+3x+2x+3\\\\=x(2x+3)+1(2x+3)\\\\\=(2x+3)(x+1)`

Hence, the second factor is

`((2x+3)(x+1))/(x+1)`

Cancel the common factor from numerator and denominator

the second factor is 2x+3

Second option is correct.