MATHS - Algebra - Polynomials

The video tutorial introduces various algebraic terms such as expressions, equations, formulae, and identities, and explains their differences. It covers the components of algebraic expressions, including variables, constants, coefficients, and exponents. The concept of polynomials is defined, highlighting that they consist of constants, variables, and coefficients with non-negative exponents. The video further classifies polynomials into monomials, binomials, and trinomials, drawing parallels with the number of wheels on cycles. An interactive exercise is included to help viewers identify different types of polynomials.

Which of the following is NOT a component of algebraic expressions?

• Variables

• Fractions

• Constants

• Coefficients

What is a key characteristic of a polynomial?

• It can be divided by a variable.

• It can have negative exponents.

• It can have constants, variables, and coefficients.

• It must have exactly three terms.

Why can't a polynomial have a negative exponent?

• Because it would make it a fraction.

• Because it would have more than three terms.

• Because it would no longer be a polynomial.

• Because it would become a constant.

How many terms does a binomial have?

• One

• Two

• Three

• Four

What do you call a polynomial with more than three terms?

• Trinomial

• Monomial

• Polynomial

• Binomial