Question

Multiply (x - 6)(3x2 + 10x - 1)

Answer 1

Answer:
`3x^3-8x^2-61x+6`.

Step-by-step explanation: Given expression
`(x - 6)(3x^2 + 10x - 1)`.

We need to multiply those binomial and trinomial.

First we would multiply x by all terms in given trinomial and then we would multiply -6 by all terms in given trinomial .

Therefore,

`(x - 6)(3x^2 + 10x - 1)=x(3x^2 + 10x - 1)-6(3x^2 + 10x - 1)`

`=3x^3 +10x^2-x -18x^2-60x+6`

Now, combining like terms
`10x^2-18x^2 = -8x^2`,
`-x-60x = -61x` , we get

`3x^3-8x^2-61x+6`.

Therefore, the product of
`(x - 6)(3x^2 + 10x - 1)` is
`3x^3-8x^2-61x+6`.