Question

use a table to find the product of (3x + 4)(x^2 + 3x - 2). how are the like terms in a table arranged?
complete the table below.

	x^2	+ 3x	- 2
+ 4

(simplify your answers.)

Explanation:

Step1: Multiply 3x by each term

$3x\times x^{2}=3x^{3}$, $3x\times3x = 9x^{2}$, $3x\times(- 2)=-6x$

Step2: Multiply 4 by each term

$4\times x^{2}=4x^{2}$, $4\times3x = 12x$, $4\times(-2)=-8$

Answer:

	$x^{2}$	$+3x$	$-2$
$+4$	$4x^{2}$	$12x$	$-8$

The like - terms in the table are arranged in columns or rows such that terms with the same power of the variable are grouped together. For example, the $x^{2}$ terms ($9x^{2}$ and $4x^{2}$) are in the same column. And the product $(3x + 4)(x^{2}+3x - 2)=3x^{3}+(9x^{2}+4x^{2})+( - 6x+12x)-8=3x^{3}+13x^{2}+6x - 8$