sari is factoring the polynomial 2x²+5x+3. if one factor is (x + 1), what is the other factor?\n2x - 3\n2x +…

Explanation:

Step1: Let the other factor be $ax + b$.

We know that $(x + 1)(ax + b)=2x^{2}+5x + 3$. Expand the left - hand side: $(x + 1)(ax + b)=ax^{2}+bx+ax + b=ax^{2}+(a + b)x + b$.

Step2: Equate the coefficients.

For the coefficient of $x^{2}$: $a = 2$. For the constant term: $b = 3$. For the coefficient of $x$: when $a = 2$ and $b = 3$, $a + b=2+3 = 5$, which is consistent with the coefficient of $x$ in $2x^{2}+5x + 3$. So the other factor is $2x+3$.

Answer:

B. $2x + 3$