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Class 9 · Mathematics

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?

Class 9 · Mathematics

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 \(n\)?

Class 9 · Mathematics

With respect to (z), what is the degree of (4x^5z^6-9x^2z^8+3x-1)?

Class 9 · Mathematics

What is the total degree of (x^3y^4z^5+2x^5y^2z^3-7)?

Class 9 · Mathematics

For which value will the degree of ((d-6)x^7+(d+1)x^5+14) be (5)?

Class 9 · Mathematics

If the degree of ((c+3)x^6+(c^2-9)x^4+25) is (0), what is the value of (c)?

Class 9 · Mathematics

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?

Class 9 · Mathematics

If (p(x)=x^3(x^5-4)-x^8+4x^3+19), what is the degree of (p(x))?

Class 9 · Mathematics

Which option has degree (6) and coefficient of (x^5) equal to (0)?

Class 9 · Mathematics

What is the degree of (0x^{13}+0x^{10}+0x^2+43)?

Class 9 · Mathematics

After simplifying (3x^4(x^4-2)-3x^8+11x^6), what is the degree?

Class 9 · Mathematics

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?

Class 9 · Mathematics

If (b=3), what will be the degree of ((b-3)x^{12}+2x^5-9)?

Class 9 · Mathematics

If \(b\ne3\), what will be the degree of \((b-3)x^{12}+2x^5-9\)?

Class 9 · Mathematics

A student says that 7x³ - 5/x + 2 is a polynomial of degree 3. Which term causes an error in the student's conclusion?

Class 9 · Mathematics

What is the degree of ((x^4-6)^3)?

Class 9 · Mathematics

If the degree of (9x^m+4x^7+3) is (7) and (m<7), which value of (m) is possible?

Class 9 · Mathematics

If the degree of \(2x^n+7x^8-1\) is \(n\) and \(n>8\), which value of \(n\) is possible?

Class 9 · Mathematics

With respect to (y), what is the degree of (8x^6y^9-3x^4y^2+5y-7)?

Class 9 · Mathematics

With respect to (x), what is the degree of (8x^6y^9-3x^4y^2+5y-7)?