Question

The coefficient of $x^2$ when $6x^2-\frac{2}{5}x+1$ is multiplied by $10x+\frac{1}{3}$ is

• A. $-4$
• B. $-2$
• C. $2$
• D. $4$

Answer 1

The correct option is B $-2$

We need to find coefficient of $x^2$ in the multiplication of $6x^2-\frac{2}{5}x+1$ and $10x+\frac{1}{3}$

$[6x^2-\frac{2}{5}x+1][10x+\frac{1}{3}]$
$60x^3+2x^2-4x^2-\frac{2}{15}x+10x+\frac{1}{3}$

$60x^3-2x^2-\frac{1}{15}x+10x+\frac{1}{3}$
Thus comparing the coefficient of $x^2$, we get the value as $-2$.