Math, asked by bgtarun2005, 3 months ago

Using remainder and factor theorem, factorise the following polynomial
x³-19x+30

Answers

Answered by akshatgupta099

Step-by-step explanation:

I am just giving a quick explanation. If u want the full answer you can comment and I will send it.

You can see that if you put X=2 in this expression (let's call it f(x)) you get 0. So, (x-2) is a factor of f(x). Now just divide f(X) by (x-2) . You will must probably get a quadratic equation, which you can solve to get two more factors. So your final answer will be f(X) = (x-2)(...)(...)

akshatgupta099: f(X) divided by (x-2) will give remainder 0

akshatgupta099: because f(2) is 0 , that's what remainder theorem says

bgtarun2005: correct

bgtarun2005: yeah

akshatgupta099: so when you divide f(X) by (x-2) u can write that the remainder here will be 0 by remainder theorem if u wish

bgtarun2005: ok

akshatgupta099: and factor theorem is simple (x-k) is a factor of f(X) if f(k) = 0

akshatgupta099: They sound similar :)

akshatgupta099: Study hard bye

nk4557829gmailcom: thank you uncle

Answered by nk4557829gmailcom

Answer:

(X -2)

Step-by-step explanation:

let X= -2

p(X) = X3 -19x +30

p(-2)= (-2)3 -19(-2)+30

p(-2)= -8 +38 -30

= 38-38

please mark me as brilliant!!!!

bgtarun2005: why

akshatgupta099: your third last step is wrong brother

akshatgupta099: it was +30 you changed it to -30

nk4557829gmailcom: i am a girl

akshatgupta099: so what can I do nk?

nk4557829gmailcom: ok uncle

akshatgupta099: uncle? I am 17 yrs old

nk4557829gmailcom: sorry

nk4557829gmailcom: which class

akshatgupta099: 11

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Using remainder and factor theorem, factorise the following polynomial x³-19x+30

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Using remainder and factor theorem, factorise the following polynomial
x³-19x+30