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997.5-239.2
hope this helped :)
If a polynomial is divisible by

, then

is a root of this polynomial.
Here (x-a) is equal to x+2:

So -2 is a root of the polynomial. That means <span>x³-6x²+kx+10</span>=0 for x=-2. Now substitute -2 for x in the equation and solve for k:
Take x-2=0
x=2
put the value of x in the equation
2^2 + 3(2) + k =0
4+6+k=0
10+k=0
k= -10
hope you understand
This value of "a" is exactly the y-coordinate of the vertex of the parabola
y = x%5E2+%2B+4x++-+31.
To find it, complete the square:
x%5E2+%2B+4x++-+31 = %28x%2B2%29%5E2+-+4+-+31 = %28x%2B2%29%5E2+-+35.
So, this value of "a" is a = -35.
Figure. Plot y = x%5E2+%2B+4x++-+31.