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Ganezh [65]
3 years ago
12

1. Compare the strengths and weaknesses of the horizontal and vertical methods for adding and subtracting polynomials. Include c

ommon errors to watch out for when using each of these methods.
2. Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial.

As an added challenge, develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x2 + 2x + 2).

3. Imagine that you are teaching a new student how to multiply polynomials. Explain how multiplying polynomials is similar to multiplying integers. Then describe the key differences between the two.

4. If you multiply a binomial by a binomial, how many terms are in the product (before combining like terms)? What about multiplying a monomial by a trinomial? Two trinomials?

Write a statement about how many terms you will get when you multiply a polynomial with m terms by a polynomial with n terms. Give an explanation to support your statement.
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0
1.Each method works differently the angles inside them is what matters.

2. <span> Manipulating algebra tiles can help people solve linear equations

3.</span><span>Distribute each term of the first polynomial to every term of the second polynomial. Remember that when you multiply two terms together you must multiply the coefficient (numbers) and add the exponents. But with Integers you multiply two integers with different signs

4.So you know how </span>
A monomial is a number, a variable or a product of a number and a variable.


<span>multiply each term in one polynomial by each term in the other <span>polynomial

Examples:
3x2(4x2 – 5x + 7)&#10; –6xy(4x2 – 5xy – 2y2)&#10;(3x – 4y)(5x – 2y)&#10;(4x – 5)(2x2 + 3x – 6)</span></span>
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Spencer wants to burn 450 calories while biking. Biking burns about 10 calories per minute. When Spencer goes biking, he usually
kupik [55]

Answer:

The equation  to find the total number of minutes (including rest) that Spencer should plan to be out biking is 10(m-15)=450.

Spencer should plan for 60 minutes  to be out biking.

Step-by-step explanation:

Given:

Total calories need to burn = 450 calories

Calories burn per minute = 10

number of minutes he rest = 15

We need to find the total number of minutes (including rest) that Spencer should plan to be out biking.

Solution:

Let Total minutes of biking be 'm'.

So we can say that.

Calories burn per minute multiplied by the difference of total minutes and number of minutes he rest is equal to Total calories need to burn.

framing in equation form we get;

10(m-15)=450

Hence the equation  to find the total number of minutes (including rest) that Spencer should plan to be out biking is 10(m-15)=450.

On Solving the above equation we get;

First we will divide both side by 10 we get;

\frac{10(m-15)}{10}=\frac{450}{10}\\\\m-15=45

Now adding both side by 15 we get;

m-15+15=45+15\\\\m=60\ minutes

Hence Spencer should plan for 60 minutes  to be out biking.

4 0
3 years ago
Of the following, which is the solution to 2x2 − 5x = −8? the quantity negative five plus or minus i times the square root of th
aleksandrvk [35]
2x²-5x+8=0
use the quadratic formula, x=(5+√39i)/4 of x=(5-√39i)/4
looks like the second choice is correct.
4 0
3 years ago
Read 2 more answers
Write the equation of a horizontal line that passes through the point (3,-3)
Artist 52 [7]
Y= mx+b

Since this line is horizontal it's slope = 0 ==> the y=b

It passes by the point (3,-3) that means b=-3 & the equation is y=-3
3 0
3 years ago
The interior angle sum of a convex polygon is 1,980°.
LenaWriter [7]

Answer: 27.69⁰

Step-by-step explanation:

Formula for finding the internal angle of a regular polygon is

( 2n - 4 )right angle triangle or

( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,

( n - 2 )180 or supplementary

Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.

( n - 2 ) × 180° = 1980°

open the bracket

180n° - 360° = 1980°

180n°            = 1980° + 360°

                    = 2340

To find n, divide by 180 which is the coefficient of n

               n   = ²³⁴⁰/₁₈₀

                    = 13

The polygon has 13, sides

To find the measure of each angle,

Recall, the sum total of external angle  = 360⁰

Therefore, to find the value of each of the angles, we divide 360 by n which is 13

                 ³⁶⁰/n

                = ³⁶⁰/₁₃

                = 27.69⁰

8 0
3 years ago
A football team played 90 matches. They won 37 matches.
Mekhanik [1.2K]

Answer:<em> 44 matches</em>

Step-by-step explanation:

<em>Let's take the given information</em>

<em>They won 37 matches</em>

<em>1/9th of their matches resulted in a draw</em>

<em>1/9 out of 90 is 9</em>

<em>You can take 90/9 and you will get 9</em>

<em>Now let us add 37+9 and you get 47</em>

<em>Now take 90-47</em>

<em>44 Matches lost</em>

<em>22/45 or 44/90</em>

5 0
3 years ago
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