1.
A polynomial is an expression with variables raised to non-negative integer powers.
2.
The degree of a polynomial is the highest power of the variable in it.
3.
polynomial A linear polynomial is a polynomial having a degree of 1.
4.
polynomial A quadratic polynomial is a polynomial with a degree of 2 and can be written in the form ax² + bx + c.
5.
polynomial A cubic polynomial is a polynomial with a degree of 3 and has the general form ax³ + bx² + cx + d.
6.
The zeroes of a polynomial p(x) are the values of x for which p(x) equals 0.
7.
The coefficients of a polynomial are the numerical parts that multiply the variable terms.
8.
numbers In a standard quadratic polynomial ax² + bx + c, a, b, and c are real numbers, and 'a' is not zero.
9.
The graph of y = p(x) intersects the x-axis at points whose x-coordinates are the zeroes of the polynomial.
10.
The x-coordinates of the points where the graph of a polynomial intersects the x-axis represent its real zeroes.
11.
of zeroes For a quadratic polynomial ax² + bx + c, the sum of zeroes (α + β) is given by -b/a.
12.
of zeroes For a quadratic polynomial ax² + bx + c, the product of zeroes (αβ) is given by c/a.
13.
If 'α' is a zero of a polynomial p(x), then (x - α) is a factor of p(x).
14.
The shape of the graph of a quadratic polynomial y = ax² + bx + c is a parabola.
15.
most A polynomial of degree 'n' can have at most 'n' zeroes
