# Matrix Functions; Polynomial Functions - HP 39gs User Manual

Graphing calculator.

Σ

## Matrix functions

### Polynomial functions

POLYCOEF
POLYEVAL
POLYFORM
Using mathematical functions
Summation. Finds the sum of expression with respect to
variable from initialvalue to finalvalue.
Σ(variable=initialvalue, finalvalue, expression)
Example
2
Σ(C=1,5,C
) returns 55.
These functions are for matrix data stored in matrix
variables. See "Matrix functions and commands" on
page 15-10.
Polynomials are products of constants (coefficients) and
variables raised to powers (terms).
Polynomial coefficients. Returns the coefficients of the
polynomial with the specified roots.
POLYCOEF ([roots])
Example
To find the polynomial with roots 2, –3, 4, –5:
POLYCOEF([2,-3,4,-5]) returns[1,2,-25,
-26,120], representing x
Polynomial evaluation. Evaluates a polynomial with the
specified coefficients for the value of x.
POLYEVAL([coefficients], value)
Example
4
3
For x
+2x
–25x
POLYEVAL([1,2,-25,-26,120],8) returns
3432.
Polynomial form. Creates a polynomial in variable1 from
expression.
POLYFORM(expression, variable1)
Example
POLYFORM((X+1)^2+1,X) returns X^2+2*X+2.
4
3
+2x
–25x
2
–26x+120:
2
–26x+120.
13-11  