1
$\begingroup$

Find a degree 4 polynomial having zeros -6, -3, 2 and 6 and the coefficient of $x^4$ equal 1

The first step is something like $p(x)=c(x-6)(x+3)(x-2)(x-6)$ as those are all the 4 zeros.

The coefficient of $x^4$ equal to 1 is throwing me off though.

  • 0
    Try multiplying out your polynomial, treating $c$ as an unknown constant for now. What does the coefficient of $x^4$ become? How can you make it $1$ by choosing $c$ appropriately?2011-11-05

2 Answers 2