SOLUTION: 2-part question on quadratic equations in intermediate algebra: A quadratic equaation can have zero, one or two solutions (zeroes) in the study of quadratic formulas and the dis

Question 1672: 2-part question on quadratic equations in intermediate algebra:
A quadratic equaation can have zero, one or two solutions (zeroes) in the study of quadratic formulas and the discriminant.
1. What about an equation of order 3 like: ax^3+bx^2+cx+d=0
2. What is the minimum number of solutions or zeroes? What is the maximum? Can
there be two?

Answer by khwang(438) (Show Source): You can put this solution on YOUR website!
for a real(a,b,c) equation of order 3.
(since f(x) --> +oo or -oo as x-->oo (or -oo))
1. may have one or three zeros(real solutions.)
may have one real solution and two complex zeros.
2. minimum number of (real) solutions is 1.
max number of (real) solutions is 3.
the number of (real) solutions may be 2. (if a real double root,
e.g. (x-1)^2 (x+3)=0)

Kenny
RELATED QUESTIONS
There are 3 question. 1.How do you know if a quadratic equation will have one, two,or no (answered by stanbon,vleith)

i don't understand some of the quadratic equation steps, like: * when to use the two... (answered by stanbon,richwmiller)

Hello, I have been away from Algebra for 5 years and have completely forgotten... (answered by askmemath)

This is one main word problem/question broken down into several questions. Post a... (answered by solver91311)

I have no clue how to do this. I am working on quadratic functions and their graphs in... (answered by )

I have no clue how to do this. I am working on quadratic functions and their graphs in... (answered by smartdude17,longjonsilver)

how do you know if a quadratic equation will have one, two or no solutions? If only given (answered by stanbon)

A system of linear equations in two variables can have _____ solutions. A.... (answered by stanbon)

This is one main question with several parts. Please help. Thank you, How do you know if (answered by vleith,solver91311,Alan3354)