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vodomira [7]
2 years ago
15

Why do you think adding and subtracting polynomial expressions is like adding and subtracting

Mathematics
1 answer:
seropon [69]2 years ago
7 0

Answer:

Polynomials are <em>closed</em> under addition and subtraction, which is fancy mathspeak that means that whenever we add or subtract two polynomials, we <em>always</em> get another polynomial. In that way, they behave a lot like the numbers you're probably already familiar with. Adding and subtracting:

  • Two integers gives you another integer
  • Two rational numbers gives you another rational number
  • Two real numbers gives you another real number

And it works the same with polynomials!

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Someone help!! 20 points to whoever can help me with this problem and give me the correct reasoning
MrMuchimi

Answer:

80

Step-by-step explanation:

180-(60+40)=180-60-40=180-100=80

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________ is a measure of the ratio of process outputs to inputs.
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Process efficiency is a measure of the ratio of process outputs to inputs.
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What’s would be the answer to 95 plus 95
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How much louder (more intense) is a 55-decibel sound than a 10-decibel sound?
fredd [130]

Answer:

Try using quizlet or ask for a tutor I don’t understand that

Step-by-step explanation:

8 0
3 years ago
Solve the following equations by factorisation method.Only factorisation not dharacharya.​
Luba_88 [7]

Hello, please consider the following.

When x_1 and x_2 are two roots, we can factorise as

ax^2+bx+c=a(x-x_1)(x-x_2)=a(x^2-(x_1+x_2)x+x_1x_2)=0

So for the first equation, we can say that the sum of the zeros is

\dfrac{a^2+b^2}{2}=\dfrac{a^2}{2}+\dfrac{b^2}{2}

and the product is

\dfrac{a^2b^2}{4}=\dfrac{a^2}{2}\dfrac{b^2}{2}

So we can factorise as below.

4x^2-2(a^2+b^2)x+a^2b^2=(2x-a^2)(2x-b^2)=0

And the solutions are

\boxed{\sf \n\bf  \ \dfrac{a^2}{2} \ \ and \ \ \dfrac{b^2}{2}}

For the second equation, we will complete the square and put the constant on the right side and take the root.

Let's do it!

9x^2-9(a+b)x+2a^2+5ab+2b^2=0\\\\9(x-\dfrac{a+b}{2})^2-9\dfrac{(a+b)^2}{4}+2a^2+5ab+2b^2=0\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{9(a+b)^2-8a^2-20ab-8b^2}{4}\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{9a^2+18ab+9b^2-8a^2-20ab-8b^2}{4}\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{a^2+b^2-2ab}{4}=\dfrac{(a-b)^2}{4}\\\\(x-\dfrac{a+b}{2})^2=\dfrac{(a-b)^2}{2^2\cdot 3^2}

We take the root, and we find the two solutions

\begin{aligned}x_1&=\dfrac{a+b}{2}-\dfrac{a-b}{6}\\\\&=\dfrac{3a+3b-a+b}{6}\\\\&=\dfrac{2a+4b}{6}\\\\&\boxed{=\dfrac{a+2b}{3}}\end{aligned}

\begin{aligned}x_1&=\dfrac{a+b}{2}+\dfrac{a-b}{6}\\\\&=\dfrac{3a+3b+a-b}{6}\\\\&=\dfrac{4a+2b}{6}\\\\&\boxed{=\dfrac{2a+b}{3}}\end{aligned}

Thank you.

6 0
3 years ago
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