Help solving math problem

[Delm96]

4x^2+9x+5

Polynomial given below has ________________ roots.

1) Two complex
2) One negative one positive
3) Two positive
4) Two negative

 

[wjm11]

4x^2+9x+5

Polynomial given below has ________________ roots.

1) Two complex
2) One negative one positive
3) Two positive
4) Two negative

Use the discriminant to figure it out.

 

[HallsofIvy]

Strictly speaking a "polynomial function" does NOT have "roots". An equation has roots. A polynomial, such as [itex]4x^2+ 9x+ 5[/itex] has "zeros", the roots of the equation \(\displaystyle 4x^2+ 9x+ 5= 0[/itex]. (I confess that I may be one of the last people in the world to care about this distinction!)

The simplest way to determine the "kinds" of roots a quadratic polynomial has is to use the quadratic formula to find out what the roots are.\)

 

[HallsofIvy]

Strictly speaking a "polynomial function" does NOT have "roots". An equation has roots. A polynomial, such as \(\displaystyle 4x^2+ 9x+ 5\) has "zeros", the roots of the equation \(\displaystyle 4x^2+ 9x+ 5= 0\). (I confess that I may be one of the last people in the world to care about this distinction!)

The simplest way to determine the "kinds" of roots a quadratic polynomial has is to use the quadratic formula to find out what the roots are.