If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.

Example: x^3 times x^3 = x^6 in the top left corner
Another example: 2x times x = 2x^2 in the bottom right corner.

This is known as the box method to keep track of all the terms multiplied.

Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).

The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2

6 0

2 years ago

PLEASE HELP!! I will make you brainlest.

Dmitry [639]

Answer:

Question 13: 90, Question 14: y = $3\sqrt{10}$ , Question 15: x = $17\sqrt{3}$ , Question 16: y = $34\sqrt{3}$ .

Step-by-step explanation:

7 0

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Nady [450]

Answer: b) -0.625

<u>Step-by-step explanation:</u>

The formula for the z-score is:

$z=\dfrac{x-\mu}{\sigma}\\\\\bullet z \text{ is the z-score}\\\bullet x \text{ is the value}\\\bullet \mu \text{ is the mean}\\\bullet \sigma \text{ is the standard deviation}\\\\z=\dfrac{6-8}{3.2}\\\\\\.\ =\dfrac{-2}{3.2}\\\\\\.\ =\large\boxed{-.0625}$

6 0

3 years ago

Working alone, shayna can harvest a field in 8 hours. John can harvest the same field in 16 hours. How long would it take them i

Alinara [238K]

(1/8)x + (1/16)x = 1
(2/16)x + (1/16)x = 1
(3/16)x = 1
x = 16/3 = 5.33333 hrs

7 0

3 years ago