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From the root of cubic polynomial (Posted on 2023-09-16) Difficulty: 4 of 5
Let P(x) be a polynomial with degree 3, consider the polynomial

Q(x)=(x3-2x+1-P(x))(2x3-5x2+4-P(x)).

Assume that Q(x)≤0, ∀x and P(0)=3. Calculate Q(-1).

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Solution | Comment 3 of 4 |
(In reply to re: Solution by Steve Herman)

Ah.  Of course.  Thanks.

I didn't see the 3rd intersection because I was looking at the 2 curves on Desmos and staying near the origin.
I should have also graphed f1 - f2

  Posted by Larry on 2023-09-17 00:20:54
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