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#1 2018-08-07 15:36:53

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 1,252

[ASK] Polynomial

11. Given a polynomial with the degree 3. If it is divided by

, the remainder is 2x + 1. If it is divided by
, the remainder is 3x - 2. The polynomial is ....
A.

B.

C.

D.

E.

The book says that the answer is A, but I don't understand the part when they suddenly substitute f(-2) = -8, where does that come from? I tried doing it myself and got a (the coefficient of

) as
. Can you tell me what's wrong?


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away. May his adventurous soul rest in peace at heaven.

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#2 2018-08-07 19:41:16

bob bundy
Administrator
Registered: 2010-06-20
Posts: 8,382

Re: [ASK] Polynomial

hi Monox D. I-Fly

I also get the x^3 coefficient as -1/3  Looks like the question has a typo as none of those answers works.

I get

and this checks out correctly with the given information.

I did this by substituting x = -3, 1, 0 and -2 into ax^3 + bx^2 + cx + d and then solving for a, b, c, and d.

When you put x = -2 , 3x - 2 becomes 3 times -2 -2 = -8.   

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#3 2018-08-08 13:52:35

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 1,252

Re: [ASK] Polynomial

I get it. Thank you, bob!


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away. May his adventurous soul rest in peace at heaven.

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