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Question

Find degree of polynomial part when (2x³ + 3x² - x + 5) is divided by x.

This question was previously asked in
UPTET 2026 Paper 2 Social Studies Question Paper (3-Jul-2026) (Shift 1)
The correct answer is

2

Dividing each term of \(2x^3+3x^2-x+5\) by \(x\) gives \(2x^2+3x-1+\frac{5}{x}\).

The polynomial part of this quotient (excluding the fractional remainder term) is \(2x^2+3x-1\).

The highest power of x in this polynomial part is 2, so its degree is 2.

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Important Questions from Polynomials

  1. If (x + y) 3+ 8 (x - y) 3= (3x + Ay) (3x 2+ Bxy + Cy 2), then the value of A + B + C is:

  2. Given that x 8- 34x 4+ 1 = 0, x > 0. What is the value of (x 3+ x -3 )?

  3. If \(x - \frac 3 x = 6,\; x \ne 0,\)  then the value of  \(\frac {x^4 - \frac {27}{x^2}}{x^2 - 3x - 3}\)  is:

  4. If \(x\left(3 - \frac 2 x\right) = \frac 3 x,\)  then the value of  \(x^3 - \frac 1 {x^3}\)  is equal to:

  5. The coefficient of x in (x – 3y) 3is:

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