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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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The sum of two numbers is 6565. the larger number is fivefive more than threethree times the smaller number. find the two number
Nimfa-mama [501]
~You would set up the equation x+(3x+5)=6565
~Combine like products so 3x+x=4x.
~Now you have 4x+5=6565.
~Isolate the variable by subracting the 5 from both sides, so you have 4x=6560.
~Since you multiply x by 4, divide both sides by 4, and 6560 divided by 4 is 1,640.
*The first number is 1,640.
~Now to find the second number you simply plug in 1,640 to (3x+5), with 1,640 being x.
~That would become [3(1,640)+5].
~3 times 1, 640 is 4,920, and add the 5 so you get 4,925.
*The second and larger number is 4,925.
If you wanna check just add the two numbers, and you get 6565.

3 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!! EXPLAIN TOO PLZ!
asambeis [7]

Ok so you would just take the two fractions and simply if needed and that the answer!

7 0
3 years ago
Read 2 more answers
The sum of w and 5 into algebraic expression
Alina [70]

Answer: w + 5

Step-by-step explanation: The sum of w and 5 translates into an algebraic expression form to w + 5.

7 0
3 years ago
Axis of sym: x =
marta [7]

Answer:

<h2>SEE BELOW</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic function
  • PEMDAS
<h3>let's solve:</h3>

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

  • to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0

vertex form of quadratic equation:

  • y=a(x-h)²+k

therefore

  • y=a(x-(-1))²+4
  • y=a(x+1)²+4

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

3 = a(1 {)}^{2}  + 4

simplify exponent:

3 =  a + 4

therefore

a =  - 1

our vertex form of quadratic equation is

  • y=-(x+1)²+4

let's simplify it to standard form

simplify square:

y =  - ( {x}^{2}  + 2x + 1)  + 4

simplify parentheses:

y =  -  {x}^{2}  - 2x - 1 + 4

simplify addition:

y =  -  {x}^{2}  - 2x + 3

therefore our answer is D)y=-x²-2x+3

the domain of the function

x\in \mathbb{R}

and the range of the function is

y\leqslant 4

zeroes of the function:

-  {x}^{2}  - 2x + 3 = 0

\sf divide \: both \: sides \: by \:  - 1

{x}^{2}  + 2x - 3 = 0

\implies \:  {x}^{2} +   3x  - x  +  3 = 0

factor out x and -1 respectively:

\sf \implies \: x(x + 3)   - 1(x  + 3 )= 0

group:

\implies \: (x - 1)(x + 3) = 0

therefore

\begin{cases} x_{1} = 1 \\  x_{2}  =  - 3\end{cases}

4 0
3 years ago
Sam has two apples and his mother takes away one how many does sam have left ?
riadik2000 [5.3K]

Answer:

1

Step-by-step explanation:

2-1 =1 LALALALALALALALALALALALALA

7 0
3 years ago
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