4x^2/2x^2
Bth x^2 will cross each other
And only this will be left
2
<h2>
Hello!</h2>
The answer is:
The simplified form of the given polynomial is:
![-x^{2}+8x+1](https://tex.z-dn.net/?f=-x%5E%7B2%7D%2B8x%2B1)
<h2>Why?</h2>
In order to simplify de given polynomial, we need to group the the like terms.
Remember, like the terms are terms that share the same variable and the same exponent.
For example:
![x^{2} +2x^{2} +3x^{3} +2=3x^{2} +3x^{3} +2](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x%5E%7B2%7D%20%2B3x%5E%7B3%7D%20%2B2%3D3x%5E%7B2%7D%20%2B3x%5E%7B3%7D%20%2B2)
We only operate with the variables that shares the same exponent.
Also, we need to remember the distributive property:
![(a+b)(c+d)=ac+ad+bc+bd](https://tex.z-dn.net/?f=%28a%2Bb%29%28c%2Bd%29%3Dac%2Bad%2Bbc%2Bbd)
So, we are given the polynomial:
![(3x^{2}-x-7)-(5x^{2}-4x-2)+(x+3)(x+2)](https://tex.z-dn.net/?f=%283x%5E%7B2%7D-x-7%29-%285x%5E%7B2%7D-4x-2%29%2B%28x%2B3%29%28x%2B2%29)
Simplifying we have:
![(3x^{2}-x-7)-(5x^{2}-4x-2)+(x+3)(x+2)=3x^{2}-x-7-5x^{2}+4x+2+((x*x)+(2*x)+(3*x)+(3*2))\\\\(3x^{2}-x-7)-(5x^{2}-4x-2)+(x+3)(x+2)=-2x^{2}+3x-5+(x^{2}+2x+3x+6)\\\\(3x^{2}-x-7)-(5x^{2}-4x-2)+(x+3)(x+2)=-x^{2}+8x+1](https://tex.z-dn.net/?f=%283x%5E%7B2%7D-x-7%29-%285x%5E%7B2%7D-4x-2%29%2B%28x%2B3%29%28x%2B2%29%3D3x%5E%7B2%7D-x-7-5x%5E%7B2%7D%2B4x%2B2%2B%28%28x%2Ax%29%2B%282%2Ax%29%2B%283%2Ax%29%2B%283%2A2%29%29%5C%5C%5C%5C%283x%5E%7B2%7D-x-7%29-%285x%5E%7B2%7D-4x-2%29%2B%28x%2B3%29%28x%2B2%29%3D-2x%5E%7B2%7D%2B3x-5%2B%28x%5E%7B2%7D%2B2x%2B3x%2B6%29%5C%5C%5C%5C%283x%5E%7B2%7D-x-7%29-%285x%5E%7B2%7D-4x-2%29%2B%28x%2B3%29%28x%2B2%29%3D-x%5E%7B2%7D%2B8x%2B1)
Hence, the simplified form of the given polynomial is:
and it's a polynomial with a degree of 2.
Have a nice day!
Answer:
f(5) = 2
Step-by-step explanation:
it says to use the function (-x+3) for when x is bigger than 2
f(x) = (-x) + 3 replace x with 5
f(5) = (-5) + 3 and f(5) = 2
Answer:
1650
Step-by-step explanation:
2200*.25=1650 sale price
Answer:
Unit rates are ratios that are used to compare different quantities
Step-by-step explanation:
It really depends on what kind of unit rate you're answering. So let's say that you go to the grocery store, and potatoes are $5.50 for 5. You would divide 5.50 by 5 to get the answer $1.10. Hope this helps!