Question

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Find the product of ( 2x^2 − 4x + 3 ) ( 3x + 6 ) using the box method shown below. What will the monomial be in the box marked with a B?

Select one:
a. - 12x 2
b. - x 2
c. - x
d. - 12x

Answer 1

`-12x^2`

Explanation:

Think of the box method as completing a chart or a multiplication table.

We can see that box B is in the second column of the first row. The second column is labeled by -4x. The first row is labeled by 3x. So, in order to fill out box B, you have to multiply -4x and 3x together.

To do so, multiply the terms' coefficients (the numbers in front of the variable). -4 times 3 makes -12. Then, multiply the variables - just keep the variable and add their exponents. x and x both have exponents of one, which makes
`x^1^+^1`, resulting in
`x^2`. Put them together and the answer would be
`-12x^2`.