Question

7a^4-3a^2+6a^3

a.) Write the equation in standard form.
b.) What degree is this equation? (number only)
c.) Name this polynomial.

Answer 1

Answers:

• (a) 7a^4 + 6a^3 - 3a^2
• (b) 4
• (c) Quartic trinomial

Explanations

• (a) To write in standard form, list the term with the largest exponent first. Then next largest, and so on. The exponents count down.
• (b) The degree is the largest exponent. This applies to single variable polynomials only.
• (c) We have a quartic due to the degree 4 polynomial. This is not to be confused with quadratic. The spelling may look very similar. The polynomial is a trinomial since we have 3 terms.

Answer 2

a.) To write the equation in standard form, arrange the terms in descending order of the exponent: 7a^4 + 6a^3 - 3a^2. b.) The degree of this equation is 4. c.) This polynomial can be named as a quartic polynomial or a fourth-degree polynomial.

Step-by-step explanation:

a.) To write the equation in standard form, we need to arrange the terms in descending order of the exponent. Rearranging the terms, we have: 7a^4 + 6a^3 - 3a^2

b.) The degree of this equation is determined by the highest exponent, which is 4. Therefore, the degree of this equation is 4.

c.) This polynomial can be named as a quartic polynomial or a fourth-degree polynomial.