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

2088_divisiom.png

 

                  x4 - 4 x3 + x2

                 -----------------

                 -2x3 - 27x2 + 138x

                 - 2x3 + 8x2 - 2x

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

                -35x2 + 140x - 35

                -35x2 + 140x - 35

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

                    0

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

∴ 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

Addition, in kannaha tiger reserve forest,there are 50 tigers and in bandha...

in kannaha tiger reserve forest,there are 50 tigers and in bandhavgarh reserve forest there are 35 tigers.how many tigers are there in all in both the forests

Proof of: limq?0 (cosq -1)/q = 0 trig limit, Proof of: lim q →0 (co...

Proof of: lim q →0 (cos q -1) / q = 0 We will begin by doing the following, lim q →0 (cosq -1)/q = lim q →0 ((cosq - 1)(cosq + 1))/(q (cosq + 1)) = lim q

Measures of central tendency-graphical method , Illustration In a soci...

Illustration In a social survey whether the main reason was to establish the intelligence quotient or IQ of resident in a provided area, the given results were acquired as tab

Formulas of surface area - applications of integrals, Formulas of Surface A...

Formulas of Surface Area - Applications of integrals S = ∫ 2Πyds          rotation about x-axis S = ∫ 2Πxds          rotation about y-axis Where, ds = √ 1 + (1+ (dy /

How much is invested at 8% if the total amount of interest, Kevin invested ...

Kevin invested $4,000 in an account which earns 6% interest per year and $x in a different account that earns 8% interest per year. How much is invested at 8% if the total amount o

Determine the probability , A medical survey was conducted in order to esta...

A medical survey was conducted in order to establish the proportion of the population which was infected along with cancer. The results indicated that 40 percent of the population

Alegrabra, how do you do algebra with division

how do you do algebra with division

People fit, How many people ca fi in a small cars without seats?

How many people ca fi in a small cars without seats?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd