Finding zeroes of a polynomial, Algebra

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.

Posted Date: 4/8/2013 2:57:38 AM | Location : United States







Related Discussions:- Finding zeroes of a polynomial, Assignment Help, Ask Question on Finding zeroes of a polynomial, Get Answer, Expert's Help, Finding zeroes of a polynomial Discussions

Write discussion on Finding zeroes of a polynomial
Your posts are moderated
Related Questions

Synthetic division table In a synthetic division table perform the multiplications in our head & drop the middle row only writing down the third row and as we will be going thr

How do you write 14x14x14x14x14x14x14= in exponential form?



{a|a=9 ,a=N,a

During a recent rainy day, 72 mm of rain was recorded. Calculate how many litres of water will be collected from the roof and stored in the water tank. Remember The volume V


Aubrey is 5 years younger than her brother is and three years ago the sum of their ages was 23 years. How old is each now?

what is the proper way to state a negative exponent when dividing example 27exponent -2/3 divided by 27 exponent -1/3