MATHEMATICS MIDDLE SCHOOL

Multiply the following using the vertical multiplication method:3x^2+5x+1
* x^2-2x+4
_________

A. 3x^4-x^3+3x^2+x+4

B. 3x^4+5x^3+10x^2+18x+4

C. 3x^4-x^3+3x^2+18x+4

D. 3x^4+x^3+x^2+x+4

Answers

Answer 1

Answer:

ANSWER

$3 {x}^(4) - {x}^(3) + 3{x}^(2) + 18x + 4$

EXPLANATION

We want to multiply;

$(3 {x}^(2) + 5x + 1)( {x}^(2) - 2x + 4)$

We use the distributive property to obtain:

$3 {x}^(2) ( {x}^(2) - 2x + 4) + 5x( {x}^(2) - 2x + 4) + 1( {x}^(2) - 2x + 4)$

We expand to get:

$3 {x}^(4) - 6 {x}^(3) + 12 {x}^(2) + 5 {x}^(3) - 10 {x}^(2) + 20x + {x}^(2) - 2x + 4$

Regroup similar terms:

$3 {x}^(4) - 6 {x}^(3) + 5 {x}^(3) + 12 {x}^(2) - 10 {x}^(2) + {x}^(2) + 20x - 2x + 4$

Combine similar terms:

$3 {x}^(4) - {x}^(3) + 3{x}^(2) + 18x + 4$

The correct choice is C.

Answer 2

Answer:

Final answer:

To multiply polynomials using the vertical multiplication method, multiply each term of one polynomial by each term of the other polynomial and then combine like terms.

Explanation:

To multiply the polynomials using the vertical multiplication method, we need to multiply each term of one polynomial by each term of the other polynomial and then combine like terms. Here are the steps:

Multiply the first term of the first polynomial by each term of the second polynomial.
Multiply the second term of the first polynomial by each term of the second polynomial.
Multiply the third term of the first polynomial by each term of the second polynomial.
Add up all the products to get the final result.

Applying these steps, the correct answer to the given multiplication is

$Option A: 3x^4 - x^3 + 3x^2 + x + 4.$

Learn more about Polynomial multiplication here:

brainly.com/question/31961906

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Answers

The answer is C, I think.

The answer is C.............

(a) What is the equation of the line, written in slope-intercept form? Show how you determined the equation.

Answers

First we need to find the slope. We can find the slope by $(rise)/(run)$ . The slope is $(-5)/(4)$ . You can also find the slope by calculating the change in the y values over the change in the x values. If the line looks like /, it has a positive slope, if it looks like \, it has a negative slope.

The slope intercept form is $y=mx+b$

Where $m$ is slope and $b$ is the y-intercept.

To find the y-intercept is (0,16.25) because we take the last $y$ value we know, 15, and add $\frac{5/4}$ (|m|). So now we just put it all into the equation.

$y=(-5)/(4)x+16.25$

Factory A can produce 45 machines in 20 minutes. Factory B can produce 30 machines in 15 minutes. If both factories produce machines for 2 hours, wich factory will produce more machines? How many machines will be produced?

Answers

45machines:20mins
20mins=1/3hour
45machines:1/3hour
times 3
135machins=1hour
135machines per hour

B. 30 in 15
15=1/4 hour
30=1/4hour
times 4
120machines per hour

both produce for 2 hours

A. is 135*number of hours, B is 120 times number of hours
135*2+120*2=
270+240=
510

make 510 machines in 2 hours

divide amount a minute by minutes so Factory A= 2.25 Factory B= 2 then multiply those by 2hrs or 120 minutes so

Factory A = 270 and Factory B = 240
factory A produced more machines

I need someone to help me figure out what the answer is please 17x(1x4)+2.2=

Answers

Answer:

Step-by-step explanation:

multiplication in parenthesis first, 1 time 4 is still 4.

then calculate the next multiplication 4 times 17 is 68.

last do the addition, 68 + 2.2 is 70.2, and that is the answer!

Start at 1000 create a pattern that subtract 8 from each number stop when you have five numbers

Answers

I would say that of course toy start with 100 but the the first 5 numbers would be 992,984,976,968,960.

Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 centimeters and the width is 15 centimeters. What is the area of the park