How many complex zeros does the polynomial function have?

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

Answers

Answer 1
Answer:

Answer:

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


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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?

Answers

Answer:

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 = (25)/(100)  * 240  = (1)/(4)   * 240

= 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

Answers

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

Answer:

multiply 17 by 17 which is 289

Step-by-step explanation:

hope this helps

Use picture or words to describe a cone

Answers

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

5/25 = 13/?

Can you please help me with this question.

Answers

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

Answer:   5/25 = 13/65
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 ?

Answers

X=35
3x+x=140
4x=140
X=35

What is 8/10 minus 2/5

Answers

If you take 2/5 minus 8/10 the final results would be -2/5 and it equals -0.4.
2/5 because 2/5 is 4/10. 8/10-4/10=4/10.4/10=2/5~JZ