No, it is not. f(x) = 2x + 3 and g(x) = 3x2 are polynomials but f(x)/g(x) is not a polynomial.
(x - 3)(x - 3)
(x + 4)(x - 3)
Not quite. The polynomial's linear factors are related - not equal to - the places where the graph meets the x-axis. For example, the polynomial x2 - 5x + 6, in factored form, is (x - 2) (x - 3). In this case, +2 and +3 are "zeroes" of the polynomial, i.e., the graph crosses the x-axis. That is, in an x-y graph, y = 0.
(x-3)(x+8)
No. A polynomial has positive powers of the variable.
The polynomial P(x)=(x-3)(x-0)(x+3)(x-1) is of the fourth degree.
An example of a polynomial with 3 terms is 3x3 + 4x + 20, because there are 3 different degrees of x in the polynomial.
If either factor is zero, so is the polynomial. The first factor is zero when x = 3 and the second factor when x = 4. Thus the required values of x are 3 and 4.
The degree of a polynomial refers to the largest exponent in the function for that polynomial. A degree 3 polynomial will have 3 as the largest exponent, but may also have smaller exponents. Both x^3 and x^3-x²+x-1 are degree three polynomials since the largest exponent is 4. The polynomial x^4+x^3 would not be degree three however because even though there is an exponent of 3, there is a higher exponent also present (in this case, 4).
No, it is not. f(x) = 2x + 3 and g(x) = 3x2 are polynomials but f(x)/g(x) is not a polynomial.
(x - 3)(x - 3)
If (x + 3)(x +7) = 0 then either: x + 3 = 0 or x + 7 = 7 Hence x = -3 or -7.
X^2-x-12------------X+3
It is a polynomial if the square root is in a coefficient but not if it is applied to the variable. A polynomial can have only integer powers of the variable. Thus: sqrt(2)*x3 + 4*x + 3 is a polynomial expression but 2*x3 + 4*sqrt(x) + 3 is not.
The smallest is 0: the polynomial p(x) = 3, for example.
(x + 4)(x - 3)