# How do you multiply the polynomial (3x^3+4x^2-5) by the monomial 17x?

Oct 20, 2016

$51 {x}^{4} + 68 {x}^{3} - 85 x$

#### Explanation:

Do this in exactly the same way as a monomial x binomial.
Use the distributive law across the bracket.

$17 x \left(3 {x}^{3} + 4 {x}^{2} - 5\right)$

=$51 {x}^{4} + 68 {x}^{3} - 85 x$

The same principle and process applies, no matter how many terms there are in a bracket.

A bracket with 12 terms in it is not more difficult to multiply into than a bracket with 2 terms! One just takes longer than the other!