Question

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

Answer 1

Answer:

2x+3

Step-by-step 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

Answer:

the second factor is 2x+3

Second option is correct.

Step-by-step 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

$\frac{2x^2+5x+3}{x+1}$

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

$\frac{(2x+3)(x+1)}{x+1}$

Cancel the common factor from numerator and denominator

the second factor is 2x+3

Second option is correct.