Question

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Answer 1

Answer:

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Answer 2

1. quadratic polynomial;

ax^2+bx+c=0

cubic polynomial; ax^3+bx^2+cx+d=0

2. an is the coefficient (the number we multiply by) for xn,

an-1 is the coefficient for xn-1,

... etc, down to ...

a1 which is the coefficient for x (because x1 = x), and

a0 which is the constant term (because x0 = 1).

Example: 9x4 + 5x2 - x + 7

a4 = 9

a3 = 0 (there is no x3 term)

a2 = 5

a1 = -1

a0 = 7

Note also:

The Degree of the polynomial is n

an is the coefficient of the highest term xn

an is not equal to zero (otherwise no xn term)

an is always a Real Number

n can be 0, 1, 2, and so on, but not infinity