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The degree of a polynomial
If a o 0, then the polynomial P(x) or f(x) is of degree 'n' i.e., it is the highest power of the variable x in the rational and integral polynomial. A polynomial of degree 2 is called a quadratic polynomia..
Some Basic Definitions
Notation: Usually a polynomial is denoted by P(x) and if k is any number then P(k) denotes the value of P(x) at x=k. The degree of a polynomial: If a o ? 0, then the polynomial P(x) or f(x) is of degree 'n' i.e., it is the highest power of the variable x in the rational and ..
Linear Equations in One Variable
Divide 40 into two parts so that one-third of the greater part may be equal to half of the lesser one. Let the greater part be x. the lesser part is 40 - x. of the greater = of the less..
Divide 40 into two parts so that one-third of the greater part may be equal to half of the lesser one. Let the greater part be x. the lesser part is 40 - x. of the greater = of the less..Example:
Discuss the continuity of the function f given by f(x) = |x - 1| + |x - 2| at ..
Example:
In the first quadrant, as x approaches zero from the right of zero, the value of f(x) increases without bound. It becomes greater than any assigned positive real value. In this case, we say or Similarly, in the third quadrant as x approaches zero from the left, the value of decreases witho..
In the first quadrant, as x approaches zero from the right of zero, the value of f(x) increases without bound. It becomes greater than any assigned positive real value. In this case, we say or Similarly, in the third quadrant as x approaches zero from the left, the value of decreases witho..Example:
For the function f(x) = x+ (x-[x]) 2 , find the RHL and LHL at x = 2. Check whethe..
For the function f(x) = x+ (x-[x]) 2 , find the RHL and LHL at x = 2. Check whethe..
Examples:
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