Find the frame of a quadratic polynomial , Mathematics

If α, β are the zeros of the polynomial x2 +8x +6 frame a Quadratic polynomial whose zeros are a)  1/α and  1/β b) 1+ β/α , 1+ α/β.

Ans.

P(x) = x2 +8x +6

α + β = -8 and αβ = 6

a) Let two zeros are 1/α and 1/β

Sum = 1/α + 1/ β = α + β/α.β = -8/6

Product = 1/α × 1/β = α + β/ α.β = -8 /6

Required Q.P is

X2 +4/3x +1/6

Sum = 1+ β/α +1+α/β

= 2 +α /β + β /α

= 2+ α22/αβ

= 2+ (α +β)2 -2αβ/αβ after solving this problem

We get = 32/3

Product = (1+β/α) (1+α/β)

= 1+ α/β +β/α +1

= 2+ α2 + β2/αβ

Substitute this sum

We get = 32/3

Required Q.P is x2 -32/3 x +32/3

Posted Date: 4/8/2013 1:50:32 AM | Location : United States







Related Discussions:- Find the frame of a quadratic polynomial , Assignment Help, Ask Question on Find the frame of a quadratic polynomial , Get Answer, Expert's Help, Find the frame of a quadratic polynomial Discussions

Write discussion on Find the frame of a quadratic polynomial
Your posts are moderated
Related Questions
Elliptic Paraboloid The equation which is given here is the equation of an elliptic paraboloid. x 2 /a 2 + y 2 /b 2 = z/c Like with cylinders this has a cross section

A person travels 10 miles due north, 6 miles due west, 4 miles due north, and 12 miles due east. How far is that person from the initail state? a. 23 miles northeast b. 13 mi

seven more than a number is less than or equal to -18


Express the product of -9p3r and the quantity 2p - 3r in simplified form. The translated expression would be -9p3r(2p - 3r). Noticed that the key word product means multiply.

How do these websites help the company strengthen its relationships with its stakeholders? List the website(s) that you previewed and give examples to support your answers. Who are

find the value of A and B if the following polynomials are perfect square:

It is a fairly short section.  It's real purpose is to acknowledge that the exponent properties work for any exponent.  We've already used them on integer and rational exponents al

you are in charge of making punch for an upcoming dance. the punch recipe makes 5 cups of punch by making 3 cups of cranberry juice with 2 cups of apple juice. What is the ratio of

Once we get out of the review, we are not going to be doing a lot with Taylor series, but they are a fine method to get us back into the swing of dealing with power series. Through