The degree of the polynomial 7 – 2x3 + 7x2 y + xy3 is A) 4 B) 3 C

1.	The degree of the polynomial 7 – 2x3 + 7x2 y + xy3 is A) 4 B) 3 C) 2D) 1
Answer» Correct option is (A) 4 Given polynomial is \(7-2x^3+7x^2y+xy^3\) There is 4 terms in given polynomial. Now, degree of term 7 is 0. (constant term / polynomial has degree 0) Degree of term \(-2x^3\) is 3. Degree of term \(7x^2y\) is 2+1 = 3. Degree of term \(xy^3\) is 1+3 = 4 Highest degree among all terms in polynomial is 4. \(\therefore\) Degree of given polynomial is 4. Correct option is A) 4

The degree of the polynomial 7 – 2x3 + 7x2 y + xy3 is A) 4 B) 3 C) 2D) 1

Answer»

Correct option is (A) 4

Given polynomial is \(7-2x^3+7x^2y+xy^3\)

There is 4 terms in given polynomial.

Now, degree of term 7 is 0.

(constant term / polynomial has degree 0)

Degree of term \(-2x^3\) is 3.

Degree of term \(7x^2y\) is 2+1 = 3.

Degree of term \(xy^3\) is 1+3 = 4

Highest degree among all terms in polynomial is 4.

\(\therefore\) Degree of given polynomial is 4.

Correct option is A) 4