zero polynomial means

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zero polynomial means

Posted by Kushal Borse 4 years, 3 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 4 years, 3 months ago

Zero Polynomial. The constant polynomial. whose coefficients are all equal to 0. The corresponding polynomial function is the constant function with value 0, also called the zero map. The zero polynomial is the additive identity of the additive group of polynomials.

Examples: xyz + x + y + z is a polynomial of degree three; 2x + y − z + 1 is a polynomial of degree one (a linear polynomial); and 5x2 − 2x2 − 3x2 has no degree since it is a zero polynomial. A polynomial all of whose terms have the same exponent is said to be a homogeneous polynomial, or a form. Forms of the first, second, and third degrees are said to be linear, quadratic, and cubic. Forms in two or three variables are called binary or ternary, for example, x2 + y2 + z2 − xy − yz − xz is a ternary quadratic form.

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CBSE > Class 09 > Mathematics