Question

Solve the following quadratic equation by factorization, the roots are :
$3x^2$ $+11x+10$

• A. $-\frac{5}{3},4$
• B. $-\frac{5}{3},2$
• C. $-\frac{5}{3},-2$
• D. $-\frac{5}{4},-2$

Answer 1

The correct option is C $-\frac{5}{3},-2$

$3x^2+11x+10=0$

$\Rightarrow$ $3x^2+6x+5x+10=0$

$\Rightarrow$ $3x(x+2)+5(x+2)=0$

$\Rightarrow$ $(x+2)(3x+5)=0$

$\Rightarrow$ $x+2=0$ and $3x+5=0$

$\Rightarrow$ $x=-2$ and $x=-\frac{5}{3}$