VIDIO 2 FAKTORING POLYNOMIAL
In mathematics, a polynomial is an expression constructed from variables (also known as indeterminates) and constants, using the operations of addition, subtraction, multiplication, and constant non-negative whole number exponents. For example, x2 − 4x + 7 is a polynomial, but x2 − 4/x + 7x3/2 is not, because its second term involves division by the variable x and also because its third term contains an exponent that is not a whole number.
For example,is a term.
The coefficient is –5, the variables are x and y, the degree of x is two, and the degree of y is one.
The degree of the entire term is the sum of the degrees of each variable in it. In the example above, the degree is 2 + 1 = 3.
A polynomial is a sum of terms. For example, the following is a polynomial:

It consists of three terms: the first is degree two, the second is degree one, and the third is degree zero. Here "− 5x" stands for "+ (−5)x", so the coefficient of the middle term is −5.
When a polynomial in one variable is arranged in the traditional order, the terms of higher degree come before the terms of lower degree. In the first term above, the coefficient is 3, the variable is x, and the exponent is 2. In the second term, the coefficient is –5. The third term is a constant. The degree of a non-zero polynomial is the largest degree of any one term. In the example, the polynomial has degree two.
A polynomial function is a function defined by evaluating a polynomial. A function ƒ of one argument is called a polynomial function if it satisfies

for all arguments x, where n is a nonnegative integer and a0, a1,a2, ..., an are constant coefficients.
Example :
Factoring of (x^3 – 7x – 6)
(x^3 -7x-6)/(x-3)
(x^3-7x-6)/ (x^3) no remainder
(x-3) is factor f (x^3-7x-6)
x^2 + 3x + 2 also a factor of (x^3-7x-6)
x^3-7x-6) = (x^3) (x^2 + 3x + 2)
the roots is x-3 = 0; x = 3 or
x + 1 = 0; x = -1
x + 2 = 0; x = -2
three roots this 3 rd degree equation quadaratic (2nd degree) equations always have at most 2 roots.
Long division for a 3 rd order polynomial:
1. Find a partial quotient of x^2, by dividing x into x^3 to get x^2
2. Multiply x^2 by the division and subtract the product from the product from the dividend
3. Repeat the process until you either “clear it out” or reach a reminder