Answer:
B
Step-by-step explanation:
Answer:
Explanation:
The polynomial subtraction is:
The ruls to add or subtract polynomials is to add or subtract like terms.
LIke terms are the terms with the same variables each raised to the same power. So, the like terrms for those two polynomilas are:
- -6.7x² and -14.9x²,
- +2.3xy and -3.5xy,
- 5.2 and 7.1
The next step is to use the distributive property: you must distribute the subraction symbol before the parenthesis through every term inside the parenthesis. For this, remember the rule of the signs:
- When you multiply the negative sign before the parenthesis, the sign of each term inside the parenthesis will be changed (negative times positive = negative, negative times negative = positive)
So, the result is:
![(-6.7x^2+2.3xy + 5.2)-(-14.9x^2-3.5xy+7.1)=-6.7x^2+2.3xy + 5.2+14.9x^2+3.5xy-7.1\\ \\ -6.7x^2+14.9x^2+2.3xy+3.5xy+5.2-7.1\\ \\8.2x^2+5.8xy-1.9](https://tex.z-dn.net/?f=%28-6.7x%5E2%2B2.3xy%20%2B%205.2%29-%28-14.9x%5E2-3.5xy%2B7.1%29%3D-6.7x%5E2%2B2.3xy%20%2B%205.2%2B14.9x%5E2%2B3.5xy-7.1%5C%5C%20%5C%5C%20-6.7x%5E2%2B14.9x%5E2%2B2.3xy%2B3.5xy%2B5.2-7.1%5C%5C%20%5C%5C8.2x%5E2%2B5.8xy-1.9)
And that is ordered in descending powers of x (x² has order 2, xy has order 1 on each variable, and the constant terms have order 0).
Answer:
1 3/4
Step-by-step explanation: I like math I am smart
The answer is negative two (-2)
-7 * -4 = 28, then divide 14 - 2 to the 2nd power, 14 - 2 to the 2nd power is 10, now divide, 10 by 28 and u get 2.8 then simplify and u get (-2).
The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.
The given polynomial is
![a) 36x^2-4x+16](https://tex.z-dn.net/?f=a%29%2036x%5E2-4x%2B16)
What is the form of perfect square polynomial?
![(ax+b)^2](https://tex.z-dn.net/?f=%28ax%2Bb%29%5E2)
we solve this method by using perfect square method
add and subtract 1/9
![36x^2-4x+16+\frac{1}{9}-\frac{1}{9}](https://tex.z-dn.net/?f=36x%5E2-4x%2B16%2B%5Cfrac%7B1%7D%7B9%7D-%5Cfrac%7B1%7D%7B9%7D)
factor 36
![\frac{143}{9}+36(x^2-\frac{x}{9}+\frac{1}{324} )](https://tex.z-dn.net/?f=%5Cfrac%7B143%7D%7B9%7D%2B36%28x%5E2-%5Cfrac%7Bx%7D%7B9%7D%2B%5Cfrac%7B1%7D%7B324%7D%20%29)
Now complete the square
Therefore this is not perfect square trinomial.
Similarly for
![b) 16x^2-8x+36](https://tex.z-dn.net/?f=b%29%2016x%5E2-8x%2B36)
Complete square is,
![16(x-\frac{1}{4})^2+35](https://tex.z-dn.net/?f=16%28x-%5Cfrac%7B1%7D%7B4%7D%29%5E2%2B35)
This polynomial is also not perfect square trinomial.
![c) 25x^2+9x+4\\](https://tex.z-dn.net/?f=c%29%2025x%5E2%2B9x%2B4%5C%5C)
complete square is,
![25(x+\frac{9}{50})^2+\frac{319}{100}](https://tex.z-dn.net/?f=25%28x%2B%5Cfrac%7B9%7D%7B50%7D%29%5E2%2B%5Cfrac%7B319%7D%7B100%7D)
This polynomial is not perfect square trinomial.
![d)4x^2+20x+25\\](https://tex.z-dn.net/?f=d%294x%5E2%2B20x%2B25%5C%5C)
complete square is,
![(2x+5)^2](https://tex.z-dn.net/?f=%282x%2B5%29%5E2)
This polynomial is perfect square trinomial.
Therefore,
The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.
To learn more about perfect square trinomial visit:
brainly.com/question/1538726