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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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Which are correct representations of the inequality –3(2x – 5) &lt; 5(2 – x)? Select two options.
avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

5 0
1 year ago
Erica babysits for 4 hours and is paid $33
Aleksandr-060686 [28]

Answer:  a: 8.25  b: 49.5

Step-by-step explanation:

7 0
2 years ago
Which graph represents the function over the interval [-3, 3]?<br> floor-2
murzikaleks [220]

Answer:

In mathematics, the functions of the whole part are functions that take a real number and return a whole number, either by excess or by default.

 Function floor (or ground), that to each real number assigns the nearest whole number by defect, that is to say, the greater whole number equal or smaller than that real number.

 Let's evaluate the extremes of the interval

 x = -3

 g (-3) = floor (-3) -2 = -5

 x = 3

 g (3) = floor (3) -2 = 1

 Therefore, the graph that best corresponds to the function in the given interval is the attached graph.

Step-by-step explanation:

7 0
3 years ago
Recall that the product (a + b)(a - b) is the
Aleks [24]

Answer:

The third option (9+3\sqrt{7}-3\sqrt{7}-\sqrt{49})

Step-by-step explanation:

With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².

In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×\sqrt{7})-(3×\sqrt{7})-(\sqrt{7})².

Solving these gives 9+3\sqrt{7}-3\sqrt{7}-7. This is the same as  9+3\sqrt{7}-3\sqrt{7}-\sqrt{49}.

**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!

8 0
3 years ago
Read 2 more answers
Which pair of undefined terms is used to define a ray?
Ostrovityanka [42]

Answer:

A point and line is used to define a ray.

7 0
3 years ago
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