perplexus.info :: Just Math : From the root of cubic polynomial

From the root of cubic polynomial (Posted on 2023-09-16)

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)

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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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