Dawnbridge

Casio fx-CG50 field manual for IB Math

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15

Finding roots of a polynomial

All courses

Use the calculator's polynomial root finder to enter the coefficients of a polynomial and read all real roots.

Goal

Find the real roots of x37x+6=0.

1

From the MAIN MENU, open Equation. If you're already inside another app, press first to get back to MAIN MENU.

2

Press (POLY), then again for degree 3: the soft keys offer degrees 2 to 6.

3

Enter the coefficients in descending powers of x: 1, 0, -7, 6. The x2 coefficient is 0, so include that zero. Use for the negative sign in -7 and after each entry.

4

Press (SOLVE). The Casio lists the real roots.

RadNorm2
d/cReal
aX³ +bX² +cX+d=0
X12
X21
X3-3
REPEAT
Result

The roots are x=2,  x=1, and x=−3. The calculator lists them in its own order, not smallest first.

Your turn

Work each one on your calculator, then check the answer.

  1. 1

    Find all real roots of x313x+12=0.

  2. 2

    Find all real roots of x319x+30=0.

  3. 3

    Find all real roots of x321x20=0.