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^{11}+7x^6+17) and (B(x)=x^{11}+7x^6), what is the degree of (A(x)-B(x))?If (A(x)=x^{10}+9) and (B(x)=-x^{10}+11x^7), what is the degree of (A(x)+B(x))?If \(P(x)\) and \(Q(x)\) are non-zero polynomials, which of the following statements is always true?If (a=10) and (b=15) in (6x^a+8x^b+1), what is the degree?Which option does not have degree (9)?If (p(x)=x^7(x^3+x)-x^{10}-x^8+59), what is the degree of (p(x))?What is the degree of (x^7(x-6)^2)?If the degree of ((r+12)x^{12}+(r+12)x^5+26) is (0), what is the value of (r)?If the degree of (p(x)) is (9) and the degree of (q(x)) is (8), what will generally be the degree of (p(x)q(x))?What is the total degree of (x^8y^2+x^6y^9+xy)?For which value will ((u^2-196)x^{15}+(u-14)x^8+13) have degree (0)?If (F(x)=7x^{13}-7x^{13}+8x^9-8x^9+10x^6-5), what is the degree of (F(x))?If (V(x)=(x^8+5x^4)^2-x^{16}-10x^{12}+3x^7), what is the degree of (V(x))?If the degree of (p(x)=(a-4)x^{10}+(a+2)x^6+3x^2-5) is (6), which value of (a) is correct?After simplifying (2x^5(x^3-1)-2x^8+7x^4), what is the degree?If (q(x)=(k+1)^2x^9+(k^2-1)x^5-4x+6) and (k=-1), what is the degree of (q(x))?Which condition is necessary for a polynomial in one variable \(x\) to have degree 4?Suppose \(p(x)\) and \(q(x)\) are non-zero polynomials, each of degree 5. Which of the following expressions must have degree 10?What is the total degree of (4x^5y^3-7x^2y^8+9xy-1)?With respect to (x), what is the degree of (8x^6y^9-3x^4y^2+5y-7)?