Question

if two zeroes of the poly.x^4-7x*3+17x^2-17x+6 are 3 and 1.find the other zeroes of the poly.

Answer 1

@apoorvk

Answer 2

@lgbasallote

Answer 3

did you know that since 3 and 1 are zero then:

x = 3 and x = 1

therefore (x-3) and (x-1) are factors of the polynomial

Answer 4

k dennnn

Answer 5

so (x-3)(x-1) = x^2 - x - 3x + 3 = x^2 - 4x = 3

now divide the polynomial given with this

Answer 6

frm where u gt x^2 - x - 3x + 3

Answer 7

If the zeroes of this polynomial are 3 and 1, that means (x-3) and (x-1) are factors of this polynomial.
Divide the polynomial by any of the factors, and obtain a quotient in terms of 'x'. This quotient will be a cubic.
Then divide this quotient again, this time by the other factor. You 'll get a quadratic.
Factorise this quadratic and get your roots!

Answer 8

FOIL (x-3)(x-1)

Answer 9

or as @lgbasallote says, divide it by (x-1)(x-3) just once, and get the quadratic.

Answer 10

so x=3 and x=1

Answer 11

????????????????????????/

Answer 12

ma bulb is fused it is nt glowing wht to do

Answer 13

where did you get lost??

Answer 14

c i gt (x-3) and (x-1)
den wht did u do? @lgbasallote

Answer 15

(x-3) and (x-1) are factors of the polynomial in the question..do you get that?

Answer 16

yssss after st its gne

Answer 17

step by step can u shw

Answer 18

next...you multiply them... (x-3) * (x-1)

Answer 19

so we will gt x*-9??????

Answer 20

no..remember FOIL

\[(x * x) + (x * -1) + (-3 * x) + (-3 * -1)\] got it?

Answer 21

* means????

Answer 22

multiply?

Answer 23

is it @lgbasallote

Answer 24

yes

Answer 25

so we will gt x^2-x-3x+3 is it????

Answer 26

yup..then combine -x and -3x

Answer 27

Great work, lgba! :)

Answer 28

dennn plzz shw it den only i will gt it

Answer 29

a big thx to @lgbasallote

Answer 30

x^2 - x - 3x + 3 = x^2 - 4x + 3

Answer 31

-x - 3x is like -1 - 3...just with an x

Answer 32

kk

Answer 33

den

Answer 34

divide... \[\large (x^4 - 7x^3 + 17x^2 - 17x + 6) \div (x^2 - 4x + 3)\]

Answer 35

hence the another roots are 1AND 2

Answer 36

k thx to @lgbasallote

Answer 37

so wht will we gt i hav to confirm dts y @lgbasallote

Answer 38

from the division?

Answer 39

ya

Answer 40

i gt 0 as d remainder and the g(x)=x^2-3x+2

Answer 41

correct?
finished d problem

Answer 42

@lgbasallote

Answer 43

is it correct @lgbasallote

Answer 44

wait im checking lol

Answer 45

k

Answer 46

u r awsome dude
mainly i depend on @apoorvk bt 2day i gt new frnd u @lgbasallote
thxxxxxxxxxxx

Answer 47

yup it's right

Answer 48

so factor out \(x^2 - 3x + 2\)

Answer 49

ohhhh god u do dis :P

Answer 50

\[x^2 - 3x + 2 = (x-2)(x-1)\] lol you need to learn factoring ;)

Answer 51

now do you know how to find the roots?

Answer 52

@Parvathysubhash - @lgbasallote is miles ahead and tonnes better than me - mind it ;)

Answer 53

it will b 2 and 1
and we hav to find d sum and d product rhyt

Answer 54

lol @apoorvk :P

Answer 55

anyway u bth r awsome @apoorvk and @lgbasallote

Answer 56

it's just looking for the other zeroes so x = 2 and x = 1 are the last two zeroes

Answer 57

got it?

Answer 58

so nw i hav to find sum and product rhyt

Answer 59

why??

Answer 60

sum of the zeroes and product of the zeroes we hav to na?
no need?

Answer 61

isn't the question just asking what are the other two zeroes? is there still another question looking for sum and product??

Answer 62

kkkkk

Answer 63

now...i sleep lol

Answer 64

k

Answer 65

gudni8 if u wnt u stay i'll ask u many question and u answer dt :P

Answer 66

We stay, you ask :P

Answer 67

thxxxxx