Question

What is the standard form, degree and leading term of 21y - 3y^2 + 4 +y^3

Answer 1

Standard form:
`y^3 -3y^2 + 21y + 4`

Degree:
`3`

Leading term:
`y^3`

Explanation:

Standard form:

⭐ Standard form is a way you can order the terms of an equation so that the exponents of each term decrease in number when reading the equation from left to right.

1. Find the term in the given equation with the largest exponent and put that term first. The terms with exponents are
   `y^3, -3y^2,` and
   `21y`(remember that a single variable has an exponent of 1). 3 is greater than 2 and 1, so
   `y^3` will be the first term.
2. Find the term with the next largest exponent and put that term after the new first term, and repeat.
3. Remember that constants (terms without a variable) will always be the last term in your new, rewritten equation.

Degree:

⭐ The degree of an equation is the highest exponent of the equation. You should always write equations in standard form in order to find the degree.

• The highest exponent in this equation is 3. Therefore, the degree of this equation in 3.

Leading term:

⭐ The leading term is the term that has the highest exponent. In standard form, it is the first term in the equation.

• The highest exponent in this equation is 3, and the term with an exponent of 3 is
  `y^3`. Therefore, the leading term of this equation is
  `y^3`