Let the four consecutive numbers be x,x+1,x+2,x+3.
Now the product of second and third number=(x+1)(x+2)=x²+3x+2=k
Product of first and fourth number=x(x+3)=x²+3x=k-2
A.T.Q
product of second and third number= product of first and fourth number+2
Hence proved
Answer:
slope=1
y-int=-8
Step-by-step explanation:
Answer:
This ans is easily solved by using algebraic identities a²- b² = (a+b) (a-b)
Step-by-step explanation:
1. convert into Identity
2. solve quadratic equation that formed.
Answer:
Step-by-step explanation:
(0, -3) not a solution
(2,1) solution
(3,-4) not a solution
(-5,7) solution
The expression can be simplified to a polynomial of degree 2.
![x^2 - 10x + 2](https://tex.z-dn.net/?f=x%5E2%20-%2010x%20%2B%202)
<h3>
How to simplify the expression?</h3>
Here we have the expression:
![(3x^2 -11x - 4) - (2x^2 - x - 6)](https://tex.z-dn.net/?f=%283x%5E2%20-11x%20-%204%29%20-%20%282x%5E2%20-%20x%20-%206%29)
We can directly simplify this by taking the variable as common factor:
![(3 - 2)*x^2 + (-11 + 1)*x + (-4 + 6)\\\\x^2 - 10x + 2](https://tex.z-dn.net/?f=%283%20-%202%29%2Ax%5E2%20%2B%20%28-11%20%2B%201%29%2Ax%20%2B%20%28-4%20%2B%206%29%5C%5C%5C%5Cx%5E2%20-%2010x%20%2B%202)
This is a polynomial, as you can see, the maximum exponent is 2, so the degree of the polynomial is 2.
If you want to learn more about polynomials:
brainly.com/question/4142886
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