Learn Polynomials with Free Lessons & Tips

A polynomial is a mathematical expression consisting of variables (also known as indeterminates) and coefficients, combined using the operations of addition, subtraction, and multiplication. The variables in a polynomial are raised to non-negative integer powers. In other words, a polynomial is a sum of terms, where each term consists of a coefficient multiplied by a variable raised to a non-negative integer exponent.

Polynomials can have various degrees. Here are some examples of polynomials of different degrees:

1. Linear Polynomial:  The degree is 1.
2. Quadratic Polynomial:P(x)=ax2+bx+c, where a, b, and c are constants. The degree is 2.
3. Cubic Polynomial: P(x)=ax3+bx2+cx+d, where a, b, c, and d are constants. The degree is 3.
4. Quartic Polynomial: P(x)=ax4+bx3+cx2+dx+e, where a, b, c, d, and e are constants. The degree is 4.

Polynomials are used extensively in mathematics and various scientific and engineering fields for modeling and solving equations, approximating functions, and more.

To find the value of k for which

To find the value of p for which

To find the zeroes of the polynomial

To find the zeroes of the polynomial

Let's denote the zeroes of the quadratic polynomial as

We are given that : :

To find the quadratic polynomial whose zeroes are

To find the zeroes of the quadratic polynomial