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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^2-144)x^{14}+(u+12)x^7+11) have degree (0)?If (F(x)=6x^{12}-6x^{12}+7x^8-7x^8+9x^5-4), what is the degree of (F(x))?If (N(x)=(x^7+4x^3)^2-x^{14}-8x^{10}+6x^2), what is the degree of (N(x))?If the degree of (p(x)=(a+6)x^{13}+(a^2-36)x^9+4x^4-2) is (4), which value of (a) is correct?After simplifying (x^7(x^4-3)-x^{11}+5x^8-6), what is the degree?If (q(x)=(k-3)^2x^{12}+(k^2-9)x^7+6x^2-5) and (k=3), what is the degree of (q(x))?If \(p(x)\) and \(q(x)\) are non-zero polynomials, which statement about the degree of their product is always true?Which of the following expressions is a polynomial of degree 3 in \(x\)?What is the total degree of (9x^7y^4-4x^3y^{10}+2xy^5-13)?With respect to (x), what is the degree of (6x^9y^4-3x^7y^{11}+8y^6-1)?A student says that the degree of the polynomial \(P(x)=4x^3-9x+6\) is \(3+1=4\). Which is the correct correction to the student's statement?If the degree of (4x^n+5x^{14}-7) is (n) and (n>14), which value of (n) is possible?If the degree of (8x^m+3x^{11}+2) is (11) and (m<11), which value of (m) is possible?A student says that the degree of the polynomial \(P(x)=6x^5-6x^5+4x^2-1\) is 5 because an \(x^5\) term is visible in it. Which is the correct correction to the student's statement?Which of the following polynomials is considered to have an undefined degree?If (b\neq-8), what will be the degree of ((b+8)x^{16}+10x^7-3)?If (b=-8), what will be the degree of ((b+8)x^{16}+10x^7-3)?Rima claims that the polynomial \(P(x)=(x^4+2x^2+1)-(x^4-3x^2+5)\) has degree 4 because both brackets contain an \(x^4\) term. Which is the correct evaluation of her claim?After simplifying (7x^9(x^2-1)-7x^{11}+6x^8), what is the degree?What is the degree of (0x^{17}+0x^{14}+0x^6-61)?