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 (8) and coefficient of (x^7) equal to (0)?If (p(x)=x^3(x^3-2)-x^6+2x^3+11), what is the degree of (p(x))?What is the degree of ((x^3+3x)(x^4-x)-x^7)?If the degree of ((c-5)x^6+(c^2-25)x^4+13) is (0), what is the value of (c)?For which value will the degree of ((d+2)x^5+(d-4)x^3+9) be (3)?What is the total degree of (x^3y^2z^5+2x^4yz^3-6)?With respect to (z), what is the degree of (5x^3z^6-7x^2z^4+9x-2)?If (h(x)=(x^3+x)^2-x^6-2x^4), what is the degree of (h(x))?For which value of \(a\) will the polynomial \(P(x)=(a-3)x^5+2x^3-1\) be a cubic polynomial?Two non-zero polynomials p(x) and q(x) have the same degree. Under which condition can the degree of p(x)+q(x) be less than their common degree?If (p(x)=(x^5-3x^2+2)-(x^5-x^2)), what is the degree of (p(x))?What is the degree of (x^5(x^2+1)-x^2(x^5-4))?If (e=2), what is the degree of ((e-2)x^{10}+(e+1)x^8+4x^3-6)?If (p(x)=0x^7+0x^4+0x+0), what is the degree of (p(x))?Kavya wrote the degree of the polynomial \(p(x)=6x^2-4x^7+9x^5-3\) as 5 because she chose the highest power with a positive coefficient. Which statement correctly explains her error?Which option has a polynomial of total degree (7)?If \(t\neq0\), what is the degree of \(tx^{13}+0x^{15}+4x^6-2\)?Which statement is always true about the degree of the product of two non-zero polynomials?For which value will ((s^2-4)x^9+(s-2)x^7+4) have degree (0)?If (A(x)=x^7+3x^2+5) and (B(x)=x^7+3x^2), what is the degree of (A(x)-B(x))?