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← Back to Introduction to Polynomials

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

With respect to (y), what is the degree of (8x^6y^9-3x^4y^2+5y-7)?If the degree of (2x^n+7x^8-1) is (n) and (n>8), which value of (n) is possible?If the degree of (9x^m+4x^7+3) is (7) and (m<7), which value of (m) is possible?What is the degree of ((x^4-6)^3)?A student says that 7x³ - 5/x + 2 is a polynomial of degree 3. Which term causes an error in the student's conclusion?If \(b\neq3\), what will be the degree of \((b-3)x^{12}+2x^5-9\)?If (b=3), what will be the degree of ((b-3)x^{12}+2x^5-9)?A student states that the degree of the polynomial \(6x^7-2x^4-6x^7+x^3\) is 7. Which statement correctly explains the student's error?After simplifying (3x^4(x^4-2)-3x^8+11x^6), what is the degree?What is the degree of (0x^{13}+0x^{10}+0x^2+43)?Which option has degree (6) and coefficient of (x^5) equal to (0)?If (p(x)=x^3(x^5-4)-x^8+4x^3+19), what is the degree of (p(x))?A student says that if two polynomials have degree 6, then the degree of their sum will always be 6. If \(p(x)=x^6-3x^2\) and \(q(x)=-x^6+5x\), which conclusion is correct?If the degree of ((c+3)x^6+(c^2-9)x^4+25) is (0), what is the value of (c)?For which value will the degree of ((d-6)x^7+(d+1)x^5+14) be (5)?What is the total degree of (x^3y^4z^5+2x^5y^2z^3-7)?With respect to (z), what is the degree of (4x^5z^6-9x^2z^8+3x-1)?Let the non-zero polynomials \(p(x)\) and \(q(x)\) both have degree \(n\), and suppose that \(p(x)+q(x)\) is also non-zero. Which condition is necessary and sufficient for the degree of \(p(x)+q(x)\) to be less than \(n\)?Reema says that the degree of the polynomial \((x^4-5x^2+1)(2x^3+x)-2x^7\) is 7 because she added the degrees of the factors. Considering Reema’s error, what is the correct degree of the polynomial?If (p(x)=(x^6-4x^2+5)-(x^6-x^2)), what is the degree of (p(x))?