Find the polynomial having roots at $1$ , $- 2$ , $3$ and $5$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{4} - 7 x^{3} + 5 x^{2} + 31 x - 30$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$1$	$x - 1$
$- 2$	$x + 2$
$3$	$x - 3$
$5$	$x - 5$

Step 2: Multiply the factors together:

P (x) = (x - 1) \cdot (x + 2) \cdot (x - 3) \cdot (x - 5) = x^{4} - 7 x^{3} + 5 x^{2} + 31 x - 30

This page was created using

Polynomial From Roots Calculator

About the Author

Welcome to MathPortal. This website's owner is mathematician Miloš Petrović. I designed this website and wrote all the calculators, lessons, and formulas.

If you want to contact me, probably have some questions, write me using the contact form or email me on mathhelp@mathportal.org.

Send Me A Comment

Main Navigation

Online Math Calculators

Find the polynomial having roots at 1 , −2 , 3 and 5 .

The polynomial generated from the given zeros is: P(x)=x4−7x3+5x2+31x−30

Find the polynomial having roots at $1$ , $- 2$ , $3$ and $5$ .

The polynomial generated from the given zeros is: $P (x) = x^{4} - 7 x^{3} + 5 x^{2} + 31 x - 30$