How to find the LC and degree of a polynomial by writing in standard form

The video tutorial explains the concept of standard form in polynomials, focusing on the arrangement of terms by power. It introduces the idea of like terms, which have the same base and power, and demonstrates how to combine them by adding their coefficients. The tutorial also covers the importance of maintaining the same exponent when adding like terms. Finally, it discusses the polynomial form, highlighting the degree and leading coefficient of a polynomial.

What is a necessary condition for terms to be considered 'like terms'?

• They must be complex numbers.

• They must be in standard form.

• They must have the same base and power.

• They must have the same coefficient.

When combining like terms, what happens to the exponents?

• They are added together.

• They are subtracted.

• They are multiplied.

• They remain the same.

Why can't terms with different bases be combined?

• They have different coefficients.

• They are not in standard form.

• They do not have the same base and power.

• They are not complex numbers.

In the expression 5X^3 + 2X^2 + X, what is the degree of the polynomial?

• 2

• 5

• 1

• 3

What is the leading coefficient in the polynomial 5X^3 + 2X^2 + X?

• 1

• 2

• 3

• 5