Question

(2x-3)(5x squared-2x+7

Answer 1

Answer:
`10x^3-19x^2+20x-21`

Explanation:

This problem is a binomial being multiplied by a trinomial.

We can solve it by multiply each term in the first expression by each term in the second expression and combine like terms.

`(2x - 3)(5x^2 -2x + 7)`

First lets multiply the 2x to the trinomial, (5x^2 - 2x + 7)

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next lets multiply the -3 to the trinomial (5x^2 - 2x + 7)

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Now put all in order by highest power (Exponent) to lowest (to lowest exponent/ or constant)

`10x^3-4x^2-15x^2+14x+6x-21`

And lastly, combine like terms:

`10x^3-19x^2+20x-21`

Your final answer is
`10x^3-19x^2+20x-21`