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# Class Polynomial

Represent polynomials, and supports addition, subtraction, and root finding.

Instance Methods

 __init__(self, coeffs)

 coeff(self, i)

 add(p1, p2) Returns: a new polynomial, which is their sum.

 __sub__(p1, p2)

 scalarMult(self, s) Returns: a new polynomial with all coefficients of self, multiplied by s

 mul(p1, p2) Returns: a new polynomial, which is their product.

 shift(p, a) Returns: a new polynomial, multiplied by x**a.

 __mul__(p1, p2)

 __str__(self, var=`'``z``'`)

 __repr__(self, var=`'``z``'`)

 val(self, x) Returns: the value of the polynomial with the variable assigned to x.

 __call__(self, x)

 roots(self) Returns: list of the roots, found by numpy
 Instance Variables coeffs List of coefficients of the polynomial, highest order first order Order of the polynomial; one less than the number of coeffs
 Method Details

### __init__(self, coeffs)(Constructor)

Parameters:
• `coeffs` - a list of numbers, starting with highest order coefficient.

Parameters:
• `p1`, `p2` - polynomials
Returns:
a new polynomial, which is their sum. Does not affect either input.

### scalarMult(self, s)

Parameters:
• `s` - a scalar
Returns:
a new polynomial with all coefficients of self, multiplied by s

### mul(p1, p2)

Parameters:
• `p1`, `p2` - polynomials
Returns:
a new polynomial, which is their product.

Does not affect either input.

### shift(p, a)

Parameters:
• `a` - integer
Returns:
a new polynomial, multiplied by x**a.

Just adds zeros for new low-order coefficients.

### val(self, x)

Parameters:
• `x` - number
Returns:
the value of the polynomial with the variable assigned to x.

### roots(self)

Returns:
list of the roots, found by numpy

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