Q2.

Question

Identify the degree of the polynomial $2 x^{3} - x^{2} + 3 x^{4} - 7$ .

Step-by-Step Solution

Verified

Answer

The expression $2 x^{3} - x^{2} + 3 x^{4} - 7$ is a polynomial of degree 4 .

1Step 1. Write down the given information.

The given expression is $2 x^{3} - x^{2} + 3 x^{4} - 7$ .

2Step 2. Calculation.

The given polynomial is re-written as: $3 x^{4} + 2 x^{3} - x^{2} - 7$ which being a polynomial in one variable x and it has four unlike terms. Therefore, by concept of polynomial, the given expression $2 x^{3} - x^{2} + 3 x^{4} - 7$ is a polynomial and it has degree 4 because of higher power to which the variable is raised.

3Step 3. Conclusion.

The polynomial $2 x^{3} - x^{2} + 3 x^{4} - 7$ is a polynomial of degree 4 .

Q1.

Q3.

Other exercises in this chapter

Q84.

Use distributive property to find the product of −3(−y+5) .

View solution

Q1.

Write a polynomial of degree 5 that has three terms.

View solution

Q3.

. Model using algebra tiles.

View solution

Q4.

Determine whether the expression 2a+5b is a polynomial. If it is a polynomial state the degree of the polynomial.

View solution