Question

What is the coefficient of x in the produce of (4x+3) (2x-7)?

Answer 1

Hello !

Answer:

`\boxed{\boxed{-22}}`

Explanation:

We will have to use the distributive property to expand this expression.

Let's remember :

`\sf (a+b)(c+d)=ac+ad+bc+bd`

Let's apply this to our expression !

`\sf (4x+3)(2x-7)\\=4x* 2x + 4x* (-7) + 3*2x+3* (-7)`

Now let's calculate and combine like terms.

`\sf \\=8x^2-28x+6x-21\\=8x^2\underline{-22}x-21`

The coefficient of x in this product is
`\boxed{-22}`.

Have a nice day ;)