Wednesday

August 20, 2014

August 20, 2014

Posted by **Sue** on Sunday, September 12, 2010 at 6:53pm.

a. sum of its zeros?

b. product of its zeros?

c. sum of the squares of its zeros?

- Algebra II -
**MathMate**, Sunday, September 12, 2010 at 7:18pmThis is a cubic equation, so there are three roots (real/complex).

If a,b,c represent the three zeroes, and if the left-hand-side is factorizable, then it factorizes into:

(x-a)(x-b)(x-c) which expands to

x³-(a+b+c)x²+(ab+bc+ca)x-abc..(1)

The sum and product of the roots can be read off readily from the above equation (1).

Hint for the sum of squares of the roots:

Consider: The sum of squares of the roots represent:

(a+b+c)²

=**(a²+b²+c²)**+ 2(ab+bc+ca)

**Related Questions**

7th grade, math - Can someone explain the steps to solve this problem? If a ...

Decartes Rule of Signs - Could you explain to me decartes Rule of signs? Here ...

alg 2 - given that one of the zeros of the funiction f(x)=x^3-8x^2+11x+20 is -1...

College Algebra - OOPS I got the zeros wrong in the last post...please show work...

Algebra - Use the rational zeros theorem to list the potential reational zeros ...

algebra - List all possible rational zeros given by the Rational Zeros Theorem (...

College algebra - Use the rational zeros theorem to find all the real zeros of ...

college algebra - use rational zeros theorem to find all the real zeros in the ...

calculus - use the given zeros to find the remaining zeros of the function h(x)=...

Decartes Rules - Use Decartes Rule of signs to determine the possible number of ...