Question

Obtain all other zeroes of the polynomial x^4-17x^2+36x-20 if two zeroes are 5 and-2

Answer 1

Hey!

_____________

One zero = 5
Another zero = -2

That means,

x - 5 and x + 2 are the factors of polynomial

(x - 5) (x + 2)

= x^2 - 3x - 10 is a factor of p (x ) = x^4-17x^2+36x-20


You simply have to divide x^4-17x^2+36x-20 by x^2 - 3x - 10. And you will get x^2 - 3x + 2.

Now, we will find factors of x^2 - 3x + 2, by splitting the middle term,


x^2 - 3x + 2

x^2 - 2x - x + 2

( x^2 - 2x ) - (x -2)

x ( x - 2) - 1 (x - 2)

(x - 1) (x - 2)

Thus, other two zeroes are =>

x - 1 = 0
x = 1

and

x - 2 = 0
x = 2

_____________

Hope it helps...!!!

Answer 2

Answer:

Step-by-step explanation:

Brainly.in

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kriparosekurian

Secondary School Math 15+8 pts

Obtain all other zeroes of the polynomial x^4-17x^2+36x-20 if two zeroes are 5 and-2

Report by Kumaraman8802 02.05.2018

Answers

kriparosekurian

KriparosekurianHelping Hand

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Nikki57

Nikki57Science Aristotle

Hey!

_____________

One zero = 5

Another zero = -2

That means,

x - 5 and x + 2 are the factors of polynomial

(x - 5) (x + 2)

= x^2 - 3x - 10 is a factor of p (x ) = x^4-17x^2+36x-20

You simply have to divide x^4-17x^2+36x-20 by x^2 - 3x - 10. And you will get x^2 - 3x + 2.

Now, we will find factors of x^2 - 3x + 2, by splitting the middle term,

x^2 - 3x + 2

x^2 - 2x - x + 2

( x^2 - 2x ) - (x -2)

x ( x - 2) - 1 (x - 2)

(x - 1) (x - 2)

Thus, other two zeroes are =>

x - 1 = 0

x = 1

and

x - 2 = 0

x = 2