Question

What expression is equivalent to the polynomial given.
(4x+3)(3x-8)

Answer 1

The equivalent polynomial is 12x^2 -23x - 24.

You can get this by multiplying the two parenthesis by each other. 

 First start by multiplying the two front numbers:
4x * 3x = 12x^2

Then multiply the outermost numbers:
4x * -8 = -32x

Then multiply the innermost numbers:
3x * 3 = 9x

Then multiply the last numbers: 
3* -8 = -24

Now combine all of them to get the above polynomial. 

Answer 2

$= > (4x + 3)(3x - 8) \\ \\ = > 4x \times 3x - 4x \times 8 + 3x \times 3 - 8 \times 3 \\ \\ = > 12 {x}^{2} - 32x + 9x - 24 \\ \\ = > 12 {x}^{2} - 23x - 24$