Example of quadratic polynomial, Mathematics

Factor following.

                   x2 - 20 x + 100

Solution

In this case we've got three terms & it's a quadratic polynomial.  Notice down as well that the constant is perfect square & its square root is equal to 10.  Notice as well that 2(10) =20 & it is the coefficient of the x term.  Thus, it looks like we've got the second special form above. The accurate factoring of this polynomial is following,

                                             x2 - 20 x + 100 =(x -10)2

To be honest, it may have been simpler to just employ the general procedure for factoring quadratic polynomials in this case instead of checking that it was one of the special forms, but we did have to see one of them worked.

Posted Date: 4/6/2013 2:44:00 AM | Location : United States






Your posts are moderated
Related Questions
i need help with exponents and how to add them

how do i understand algebra? whats the formula i just dont get it

Brian's 100-yard dash time was 2.68 seconds more than one school record. Brian's time was 13.4 seconds. What is the school record? The school record is less than Brian's time.

Non Zero Sum Games Recently there was no satisfactory theory either to describe how people should play non-zero games or to explain how they actually play that game Nigel Ho


Integration by Parts -Integration Techniques Let's start off along with this section with a couple of integrals that we should previously be able to do to get us started. Fir

Q. Definition of Random Variables? Ans. Up to this point, we have been looking at probabilities of different events. Basically, random variables assign numbers to element

Concrete to Abstract :  Mathematics, like all human knowledge, grows out of our concrete experiences. Let us take the example of three-dimensional shapes. Think about how you came

Find out the length of Hamiltonian Path in a connected graph of n vertices. Ans: The length of Hamiltonian Path in a connected graph of n vertices is n-1.

A bag holds 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at random. What is the probability in which the marble chosen is blue? The probability of blue