Question

*Fill in the blank: A polynomial with degree three is called ______.*

1️⃣ quadratic polynomial
2️⃣ cubic polynomial
3️⃣ linear polynomial
4️⃣ constant polynomial​

Answer 1

Answer:

cubic polinomials

sure about my answer

Answer 2

A polynomial with degree three is called​ Cubic Polynomial

• A polynomial of degree three is called Cubic Polynomial
• General Form is ax³ + bx² + cx + d (where a, b, c and d are real number and a ≠ 0)
• Example : x³ + x² + x + 1, 2x³ + x² - 3x - 4

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What is Polynomial

• A function p(x) of the form p(x) = a₀ + a₁x + a₂x² + a₃x³ + ........ + aₙxⁿ is called a Polynomial

• Expression mixed (or composed) of variable, constants and exponents is known as Polynomial

What is Degree of Polynomial

• Degree of Polynomial is termed as the Highest exponent of the variable in a polynomial is known as a Degree of a polynomial.

How To Find Degree of Polynomial (Single Variable)

Degree of a Polynomial with a single variable is it's Highest Power

Example : 6x⁴ + 3x³ +3x² + 2x + 1

• Variable in this polynomial is "x"
• The Highest Power of "x" is 4
• Hence Degree of Given Polynomial is 4

How To Find Degree of Polynomial (Two or More Variables)

Degree of a Polynomial with more than single variable is the sum of the powers of the variable in each term and the Highest sum among them is considered as Degree of that Polynomial

Example : 4x²y - 2xy² + x - 7

• Variables in this polynomial are "x" and "y"

• The Power of Term 4x²y is 3

• The Power of Term 2xy² is 3

• The Power of Term x is 1

• The Power of Term 7 is 0

• Hence Degree of Given Polynomial is 3