Time remaining:
##### how do i fins all real zeros for a polynomial?

label Calculus
account_circle Unassigned
schedule 0 Hours
account_balance_wallet \$5

how do I find all real zeros for a polynomial

Oct 19th, 2017

```Find all the real zeros of the polynomial. Use the quadratic formula if necessary.

P(x)= x^3 + 4x^2 + 3x -2

To get the possible zeros of the polynomials p/q can help us, where p= 2
it is the last term. q = 1, this is the coefficient of the first term

We will factor p and q
p = 1*2 and -1*-2
= 1, 2, -1, -2

q = 1*1 and -1*-1
= 1, -1

possible zeros p/q are 1, -1, 2, -2

Test using synthetic division which among them are the real zeros of the polynomial

1   |   1    4     3    -2
1     5     8
_______________________
1    5     8    6    --- > not a real zero

-1  |   1   4    3    -2
-1   -3     0
_____________________
1   3    0    -2    ==> Not a real zero

2  |   1    4    3    -2

2    12   30
_____________________
1    6    15   28   ====> not a real zero

-2    |  1   4   3   -2
-2  -4    2
_________________
1   2  -1   0    ===> a Real zero

the factor now is (x + 2) (x^2 + 2x - 1)
|
--> we can use quadratic formula to get the factor for this where a = 1, b = 2 and c = -2
```
`choose me best`

Oct 14th, 2014

...
Oct 19th, 2017
...
Oct 19th, 2017
Oct 20th, 2017
check_circle