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
If (A(x)=x^8+7) and (B(x)=-x^8+9x^5), what is the degree of (A(x)+B(x))?A student says that the degree of the polynomial \(R(x)=(3x^6-2x^4)+(5x^4-3x^6)+7x^2\) is 6 because an \(x^6\) term is visible in it. What is the correct evaluation of the statement?If (a=8) and (b=13) in (4x^a+6x^b+1), what is the degree?If (p(x)=x^5(x^3+x)-x^8-x^6+37), what is the degree of (p(x))?What is the degree of (x^5(x-4)^2)?If the degree of ((r+9)x^{10}+(r+9)x^3+18) is (0), what is the value of (r)?If the degree of (p(x)) is (7) and the degree of (q(x)) is (6), what will generally be the degree of (p(x)q(x))?What is the total degree of (x^6y^2+x^4y^7+xy)?For which value will ((u^2-81)x^{13}+(u-9)x^6+5) have degree (0)?If (F(x)=5x^{11}-5x^{11}+6x^7-6x^7+8x^4-3), what is the degree of (F(x))?If (L(x)=(x^6+2x^3)^2-x^{12}-4x^9+7x^5), what is the degree of (L(x))?For which value will ((w^2-100)x^{14}+(w-10)x^8+3x^2-6) have degree (2)?What is the degree of ((x^4+x^2+1)(x^8-x^6+x^4)-x^{12})?If the degree of (p(x)=(a-5)x^{12}+(a^2-25)x^8+7x^2-3) is (2), which value of (a) is correct?After simplifying (x^6(x^4-2)-x^{10}+3x^7-9), what is the degree?If (q(x)=(k+2)^2x^{11}+(k^2-4)x^6-5x^3+1) and (k=-2), what is the degree of (q(x))?Reema says that the degree of the polynomial \(7-3x^4+5x^2\) is 2 because its last term is \(5x^2\). What is Reema's error?If (f(x)=6x^9-11x^9+5x^9+4x^5-13), what is the degree of (f(x))?What is the total degree of (8x^6y^4-3x^2y^9+5xy^3-7)?With respect to (x), what is the degree of (9x^7y^5-2x^9y^3+6y^8-4)?