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 option has degree (12) and coefficient of (x^{11}) equal to (0)?If (Y(x)=0), what is the degree of (Y(x))?If (p(x)=x^7(x^2-8)-x^9+8x^7+43), what is the degree of (p(x))?What is the degree of ((x^7+4x^3)(x^8-x^4)-x^{15})?If the degree of ((c-8)x^{10}+(c^2-64)x^7+47) is (0), what is the value of (c)?For which value will the degree of ((d+9)x^9+(d-4)x^6+19) be (6)?What is the total degree of (x^7y^4z^3+5x^3y^2z^{10}-14)?With respect to (z), what is the degree of (9x^6z^{10}-8x^2z^7+5x^3-6)?A student says that the degree of the polynomial \(p(x)=5x^3-2x^3+x^2-7\) will be 6 by adding 3 and 3. Which statement correctly identifies the student's error?What is the degree of ((x^8-1)(x^8+1))?A student says that the polynomial \(p(x)=(x^3+2x^2-x)-(x^3-5x+4)\) has degree 3 because an \(x^3\) term is visible. What is the correct conclusion?If (p(x)=(x^9-7x^6+5)-(x^9-3x^6)), what is the degree of (p(x))?What is the degree of (x^9(x^2+1)-x^2(x^9-8))?If (e=5), what is the degree of ((e-5)x^{14}+(e+3)x^{12}+9x^5-4)?If (p(x)=0x^{11}+0x^9+0x^5+0), what is the degree of (p(x))?A student says that the degree of the polynomial \(5-3x^4+2x^6-x^2\) is 4 because the coefficient of \(x^4\) is the greatest. What is the error in the student's statement?Which option has a polynomial of total degree (11)?If \(t\neq0\), what is the degree of \(tx^{17}+0x^{19}+8x^{10}-7\)?What is the degree of ((x^9+x^6+1)-(x^9+x^6))?For which value will ((s^2-169)x^{14}+(s+13)x^{10}+9) have degree (0)?