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
For which value will ((u^2-25)x^9+(u-5)x^4+3) have degree (0)?If (F(x)=2x^8-2x^8+5x^4-5x^4+9x-1), what is the degree of (F(x))?If (M(x)=(x^3-2)^2-(x^6-4x^3)+7x^2), what is the degree of (M(x))?If the degree of (p(x)=(a+3)x^9+(a^2-9)x^6+4x^2-5) is (2), which value of (a) is correct?After simplifying (x^4(x^3+2)-x^7+6x^5-8), what is the degree?If (q(x)=(k-4)^2x^8+(k-4)x^5+3x) and (k=4), what is the degree of (q(x))?Two polynomials \(P\) and \(Q\) each have degree 5. A student says that the degree of \(P+Q\) will always be 5. Which example proves the student's statement wrong?Which of the following expressions is a polynomial of degree 4 in the variable \(x\)?What is the total degree of (5x^3y^4-2x^6y+7xy^2-1)?With respect to (x), what is the degree of (7x^2y^8-5x^6y^3+4y^2-3)?With respect to (y), what is the degree of (7x^2y^8-5x^6y^3+4y^2-3)?If the degree of (4x^n+3x^8-1) is (n) and (n>8), which value of (n) is possible?If the degree of (5x^m+6x^7+2) is (7) and (m<7), which value of (m) is possible?What is the degree of the polynomial ((x^3-2)^3)?What is the degree of ((x^4+3)^2-(x^8+6x^4))?If (b\neq-2), what will be the degree of ((b+2)x^{12}+5x^6-4)?If (b=-2), what will be the degree of ((b+2)x^{12}+5x^6-4)?A student says that the degree of the polynomial \(P(x)=5x^6-5x^6+3x^4-x+1\) is 6 because an \(x^6\) term appears in it. Which conclusion is correct?After simplifying (3x^5(x^2-1)-3x^7+8x^4), what is the degree?What is the degree of (0x^{13}+0x^{10}+0x^3+25)?