Find the polynomial zeros , Mathematics

Assignment Help:

If two zeros of the polynomial f(x) = x⁴ - 6x³ - 26x² + 138x - 35 are 2 ± √3.Find the other zeros. (Ans:7, -5)

Ans: Let the two zeros are 2 +√3 and 2 - √3

Sum of Zeros = 2 + √3 + 2 - √3

= 4

Product of Zeros = ( 2+√3 )(2 - √3 )

= 4 - 3

= 1

Quadratic polynomial is x² - (sum) x + Product

x⁴ - 4 x³ + x²

-----------------

-2x³ - 27x² + 138x

- 2x³ + 8x² - 2x

-----------------------

-35x² + 140x - 35

------------------------

∴ x² - 2x - 35 = 0

(x - 7)(x + 5) = 0

x = 7, -5

other two Zeros are 7 and -5

Related Discussions:- Find the polynomial zeros

Is this a sample statistic.., jenna asked 100 of her schoolmates if they ha...

jenna asked 100 of her schoolmates if they have had their first kiss and 43 of them said yes

Arc length with parametric equations, Arc Length with Parametric Equations ...

Arc Length with Parametric Equations In the earlier sections we have looked at a couple of Calculus I topics in terms of parametric equations. We now require to look at a para

integration: if f(x)+f(x+1/2) =1 find limit 0 to 2, f(x)+f(x+1/2) =1 f(x...

f(x)+f(x+1/2) =1 f(x)=1-f(x+1/2) 0∫2f(x)dx=0∫21-f(x+1/2)dx 0∫2f(x)dx=2-0∫2f(x+1/2)dx take (x+1/2)=v dx=dv 0∫2f(v)dv=2-0∫2f(v)dv 2(0∫2f(v)dv)=2 0∫2f(v)dv=1 0∫2f(x)dx=1

Explain graphing equations with a negative slope, Explain Graphing Equation...

Explain Graphing Equations with a Negative Slope? If the slope is a negative fraction, place the negative sign on either the numerator or the denominator. Example graph y = -2/

#probability, A B C play a game. If chance of their winning it in an attemp...

A B C play a game. If chance of their winning it in an attempt arr2/3, 1/2, 1/4 respective. A has a first chance followed by Band Called respective chances of winning the game.

Matrices, det(adj A)for 1*1 matrix

det(adj A)for 1*1 matrix

Pythagorean theorem, How do you find the perimeter of an irregular shape us...

How do you find the perimeter of an irregular shape using Pythagorean theorem?

Indices, What is a way to solve indices

What is a way to solve indices

Prove that ac2 =ab2 + bc2+2bcxbd, If ABC is an obtuse angled triangle, obtu...

If ABC is an obtuse angled triangle, obtuse angled at B and if AD⊥CB Prove that AC 2 =AB 2 + BC 2 +2BCxBD Ans: AC 2 = AD 2 + CD 2 = AD 2 + (BC + BD) 2 = A

4th grade, Ray cut 6 pieces of rope . Each piece was between 67 and 84 inch...

Ray cut 6 pieces of rope . Each piece was between 67 and 84 inches long. What would be the total length of the 6 pieces of rope?

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages