The roots of <img alt="$x^3 + 2x^2 - x + 3$" height="18" src="https://latex.artofproblemsolving.com/7/e/6/7e6ef5d8664f1952ed7e68b9b5b394c50efd1b55.png" width="133" /> are <img alt="$p, q,$" height="11" src="https://latex.artofproblemsolving.com/0/e/c/0ec2b6f850a38c18bff9b2d860b248982102966e.png" width="31" /> and <img alt="$r.$" height="8" src="https://latex.artofproblemsolving.com/2/7/9/279a83610a37e3f83bb8d2544695241ca8066834.png" width="11" /> What is the value of <img alt="\[(p^2 + 4)(q^2 + 4)(r^2 + 4)?\]" height="20" src="https://latex.artofproblemsolving.com/9/3/8/938ecf6869b053c8335864493848733a3f242e2e.png" width="191" />

Question No: 348

The roots of $x^3 + 2x^2 - x + 3$ are $p, q,$ and $r.$ What is the value of

$(p^2 + 4)(q^2 + 4)(r^2 + 4)?$

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Tags: Algebra

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