Question

$\text{If}x\text{is multiplied with the sum of}11x^2-8x+4$
$\text{and}6x^2+7x-10,\text{then find the product.}$

• A. $17x^3-x^2-6x$
• B. $17x^2-x+6$
• C. $17x^2+x-6$
• D. $17x^2-x-6$

Answer 1

The correct option is A $17x^3-x^2-6x$

$11x^2-8x+4$ +
$\underset{–}{6x^2+7x-10}$
$17x^2-x-6$

Now, multiplying
$17x^2-x-6byx,$

we get,
$x(17x^2-x-6)=(x\times 17x^2)+(x\times -x)+(x\times -6)=17x^3-x^2-6x$