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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.
2x-3(2x+7)=-13
Solve following. 2x - 3 = 7 Solution Again, p represents the quantity within the absolute value bars thus all we have to do here is plug into the formula & then solve th
ysquared+4y-12=0
are these like terms
Ask question #Minimum 100 words is accepted# is help available for categories listed above
v(5)
need step by step instructions on solving P = $500 and r = 11% = .11
Example Find out all the zeroes of P ( x ) = x 4 - 7 x 3 + 17 x 2 -17 x + 6 . Solution We found the list of all possible rational zeroes in the earlier example. Follo
please help me understand polynomials- i get the small problems but i dont understand larger ones
[-(y4-y2 + 1)-(y4+2y2 + 1]+(4y4-10y2-3)
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