The answer is 34
God bless
The zeros of the polynomial are <span>1, 2, -2 and -3, so this polynomial must have at least one of each of these factors:
(x-1), (x-2), (x-(-2)), and (x-(-3)); rewriting: </span>(x-1), (x-2), (x+2), and (x+3).
Thus, any such polynomial must have a factor (x-1)(x-2)(x+2)(x+3).
The simplest such polynomial we can think of, is p(x)=(x-1)(x-2)(x+2)(x+3).
To write in standard form, lets first multiply the factors two by two as follows:
![(x-2)(x+2)=x^2-4](https://tex.z-dn.net/?f=%28x-2%29%28x%2B2%29%3Dx%5E2-4)
by the difference of squares formula,
![(x-1)(x+3)=x^2+2x-3](https://tex.z-dn.net/?f=%28x-1%29%28x%2B3%29%3Dx%5E2%2B2x-3)
.
Next, we multiply our results:
![(x^2-4)(x^2+2x-3)=x^2(x^2+2x-3)-4(x^2+2x-3)](https://tex.z-dn.net/?f=%28x%5E2-4%29%28x%5E2%2B2x-3%29%3Dx%5E2%28x%5E2%2B2x-3%29-4%28x%5E2%2B2x-3%29)
![=x^4+2x^3-3x^2-4x^2-8x+12=x^4+2x^3-7x^2-8x+12](https://tex.z-dn.net/?f=%3Dx%5E4%2B2x%5E3-3x%5E2-4x%5E2-8x%2B12%3Dx%5E4%2B2x%5E3-7x%5E2-8x%2B12)
.
Answer:
The answer is m=1.19 hope it helps
The coordinates of R are (6,9)
Step-by-step explanation:
Given
S(6,7) = (x2,y2)
R = (x1,y1)
M = (6,8)
The formula for mid-point is:
![M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=M%20%3D%20%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%20%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Putting values
![(6,8) = (\frac{x_1+6}{2} , \frac{x_2+7}{2})](https://tex.z-dn.net/?f=%286%2C8%29%20%3D%20%28%5Cfrac%7Bx_1%2B6%7D%7B2%7D%20%2C%20%5Cfrac%7Bx_2%2B7%7D%7B2%7D%29)
Putting respective coordinates equal
![6 = \frac{x_1+6}{2}\\6*2 = x_1+6\\12 = x_1+6\\x_1 = 12-6\\x_1 =6\\AND\\8 = \frac{y_1+7}{2}\\8*2 = y_1+7\\16 = y_1+7\\16-7 = y_1\\y_1 = 9](https://tex.z-dn.net/?f=6%20%3D%20%5Cfrac%7Bx_1%2B6%7D%7B2%7D%5C%5C6%2A2%20%3D%20x_1%2B6%5C%5C12%20%3D%20x_1%2B6%5C%5Cx_1%20%3D%2012-6%5C%5Cx_1%20%3D6%5C%5CAND%5C%5C8%20%3D%20%5Cfrac%7By_1%2B7%7D%7B2%7D%5C%5C8%2A2%20%3D%20y_1%2B7%5C%5C16%20%3D%20y_1%2B7%5C%5C16-7%20%3D%20y_1%5C%5Cy_1%20%3D%209)
Hence,
The coordinates of R are (6,9)
Keywords: Coordinate geometry
Learn more about coordinate geometry at:
#LearnwithBrainly
Answer:
0, -10
Step-by-step explanation: