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Finding Zeroes of a polynomial
The below given fact will also be useful on occasion in determining the zeroes of a polynomial.
Fact
If P (x) is a polynomial & we know that P (a) = 0 and P (b) = 0 then somewhere among a and b is a zero of P ( x ) .
According to this fact if we evaluate the polynomial at two points & one of the evaluations provides a positive value (that means the point is above the x-axis) & the other evaluation provides a negative value (that means the point is below the x-axis), then the single way to get from one point to the other is to go through the x-axis. Or, in other terms, the polynomial ought to have a zero, as we know that zeroes are where a graph touches or crosses the x-axis.
Notice that this fact doesn't tell us what the zero is, it just tells us that one will present. Also, note that if both of the evaluations are +ve or both evaluations are -ve there may or may not be a zero among them.
Find the zeros of the function by using the quadratic formula. Simplify your answer as much as possible. g(x)= 2x^2+4x-12
how do you solve function of x ?
7x+6=x-30
hello please help me on the solucion
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a^2-b^2-c^2-2bc
v(5)
how do you solve y+2=5x-4
three consecutive odd integers such that the s f the first and second is 31 less than 3 times the third. find the inters.
1) Maximize z = 4x1 + 10x2 Subject to 2x1 + x¬2 2x1 + 5x¬2 2x1 + 3x¬2 x1 , x¬2 >=0
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