Mathematics
Degree of a Polynomial
बहुपद की घात
In Class 9 Mathematics, under Introduction to Polynomials, Degree of a Polynomial explains how to identify the highest exponent of a variable with a non-zero coefficient in a polynomial. Students learn to determine polynomial degree, distinguish constant, linear, quadratic and cubic polynomials, and understand why the zero polynomial has an undefined degree.
Practice questions
Which polynomial has four terms and degree (5)?If \(a\neq0\), what can definitely be said about \(ax^4+bx^2+c\)?If \(p(x)=ax^5+bx^3+c\) and \(a\neq0\), what is the degree of (p(x))?A student says that the degree of \(p(x)=5x^7-5x^7+4x^3-1\) is 7. What is the correct evaluation of the student's statement?If \(a\neq0\) and \(b=0\), what will be the degree of \(ax^8+bx^6-5x+2\)?If \(a=0\) and \(b\neq0\), what will be the degree of \(ax^8+bx^6-5x+2\)?Which statement is correct for \(\frac{x^4}{3}-\sqrt{10}x^2+7\)?Which expression is a polynomial whose degree is greater than (3)?If \(a\neq0\) and \(p(x)=ax^7+bx^2+c\), what is the degree of (p(x))?Which expression is a polynomial in (x) but not a linear polynomial in (x)?Which expression is a polynomial in (x) of degree (4)?Which expression is a polynomial but not of degree (2)?Which expression is a polynomial of degree (5)?What is the degree of the polynomial (5x^3-2x+7)?What is the degree of the polynomial (8x^2+4x-9)?What is the degree of the polynomial (6x-13)?What is the degree of the non-zero constant polynomial (-18)?What is the degree of the polynomial (0x^5+7x^4-3x+2)?What is the degree of the polynomial (3x^6+x^2-5)?What is the degree of the polynomial (x^4+x^3+x^2+x+1)?