Question

1. figure out the polynomial being multiplied on top and then fill in the missing boxes.

period:

Explanation:

Step1: Identify right table terms

Top polynomial: $2x - 7$; Left polynomial: $3x^2 + 5$

Step2: Fill right table missing cells

Top-left: $2x \times 3x^2 = 6x^3$
Middle-left: $5 \times (-7) = -35$
Middle-right: $2x \times 5 = 10x$

Step3: Identify left table terms

Top polynomial: $3x^2 - 4x + 2$; Left polynomial: $x^2 + 5x - 7$

Step4: Fill left table missing cells

Top-middle: $3x^2 \times (-4x) = -12x^3$
Middle-left: $x^2 \times 5x = 5x^3$
Bottom-middle: $(-4x) \times (-7) = 28x$
Bottom-right: $2 \times (-7) = -14$

Answer:

Right Table (completed):

	$2x$	$-7$
$5$	$10x$	$-35$

Left Table (completed):

	$3x^2$	$-4x$	$2$
$5x$	$15x^3$	$-20x^2$	$10x$
$-7$	$-21x^2$	$28x$	$-14$