C = 2 because 2 times 2 is 4 and 4+2 = 6
Answer:
x = 4
Step-by-step explanation:
-(7-4x)=9
change the signs on both sides of the equation
7-4x=-9
move constant to the right hand side and change it’s sign
-4x=-9-7
calculate the difference
-4x=-16
divide both sides of the equation by -4
x=4
Well they have to be perpendicual because they cross and parallel means that they are like lines on lines paper, they do not cross, they just keep going. Hope this helps :)
Answer:
try 14n
Step-by-step explanation:
Answer:
a) factors of polynomial are: (x+1)(x-2)(x-5)
b) the required polynomial in standard form is: ![\mathbf{x^3-6x^2+3x+10}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%5E3-6x%5E2%2B3x%2B10%7D)
Step-by-step explanation:
The polynomial has zeros at -1,2,5
Part A) Write the three factors of the polynomial
we have x=-1, x=2 and x=5 as zeros of polynomial
so factors will be:
(x+1)=0, (x-2)=0, (x-5)=0
So, factors of polynomial are: (x+1)(x-2)(x-5)
Part B) Write the polynomial in standard form
For finding polynomial, we will multiply all the factors i.e
(x+1)(x-2)(x-5)
![(x+1)(x-2)(x-5)\\=(x(x-2)+1(x-2))(x-5)\\=(x^2-2x+x-2)(x-5)\\=(x^2-x-2)(x-5)\\=x(x^2-x-2)-5(x^2-x-2)\\=x^3-x^2-2x-5x^2+5x+10\\=x^3-x^2-5x^2+5x-2x+10\\=x^3-6x^2+3x+10](https://tex.z-dn.net/?f=%28x%2B1%29%28x-2%29%28x-5%29%5C%5C%3D%28x%28x-2%29%2B1%28x-2%29%29%28x-5%29%5C%5C%3D%28x%5E2-2x%2Bx-2%29%28x-5%29%5C%5C%3D%28x%5E2-x-2%29%28x-5%29%5C%5C%3Dx%28x%5E2-x-2%29-5%28x%5E2-x-2%29%5C%5C%3Dx%5E3-x%5E2-2x-5x%5E2%2B5x%2B10%5C%5C%3Dx%5E3-x%5E2-5x%5E2%2B5x-2x%2B10%5C%5C%3Dx%5E3-6x%5E2%2B3x%2B10)
So, the required polynomial in standard form is: ![x^3-6x^2+3x+10](https://tex.z-dn.net/?f=x%5E3-6x%5E2%2B3x%2B10)