# How many complex zeros does the polynomial function have? F(x)=2x^4 +5x^3 - x^2 +6x-1

Two complex roots.

Step-by-step explanation:

F(x)=2x^4 +5x^3 - x^2 +6x-1

is a polynomial in x of degree 4.

Hence F(x) has 4 roots.  There can be 0 or 2 or 4 complex roots to this polynomial since complex roots occur in conjugate pairs.

Use remainder theorem to find the roots of the polynomial.

F(0) = -1 and F(1) = 2+5-1+6-1 = 11>0

There is a change of sign in F from 0 to 1

Thus there is a real root between 0 and 1.

Similarly by trial and error let us find other real root.

F(-3) = -1 and F(-4) = 94

SInce there is a change of sign, from -4 to -3 there exists a real root between -3 and -4.

Other two roots are complex roots since no other place F changes its sign

## Related Questions

A bakery used 25% more butter this month that the last month.If the bakery used 240 kilograms of butter last month,how much did it use this month?

This month the bakery used 300 kilograms of butter.

Step-by-step explanation:

The amount of butter used last month =  240 kilograms

The amount of butter extra used this month = 25%

Now, 25 % of 240 kg =

= 60 kilograms

The extra butter used this month =  60 kg

So,the total butter used this month = 240 kg + 60 kg = 300 kilograms

Hence, this month the bakery used 300 kilograms of butter.

How do you do you solve this question

well it is area so u multiply 17 by 17 which is 289

multiply 17 by 17 which is 289

Step-by-step explanation:

hope this helps

Use picture or words to describe a cone

A cone is a 3 D or 3 dimensional figure with no sides, and one point.

5/25 = 13/?

This a proportion.

Lets solve by cross multiplying.

5/25 = 13/x

5 * x = 5x                13 * 25 = 325

325 = 5x

5x/5 = 325/5
x= 325/5             x= 65

5/25
This can be simplified to 1/5
1/5 = 13/?
In order to get to 13 from 1 you must multiply by 13
If we multiply the bottom (denominator) by 13 we get the missing value
5 x 13 = 65

5/25 = 13/65

Mauro has 140ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. What will the length of the longer piece be ?