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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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Similar Questions

  1. If (2x2 + ax + 3) - (x2 - 4x + 1) has exactly two unlike terms, find a.

  2. Find the number of unlike terms in (x + 2y + 3z)(2x - y + z).


Important Questions from Polynomials

  1. If one of the zeros of the polynomial x 3+ ax 2+ bx + c is  - 1, then the product of other two zeros is equal to :

  2. If a(a + b + c) 2 = 1792; b(a + b + c) 2 = 1536; c(a + b + c) 2 = 768, then what will be the value of b?

  3. If x = 3 so, what is the value of x 2 + 2x + 5 ?

  4. If (x 2- 1) is a factor of ax 4+ bx 3+ cx 2+ dx + e, then which one of the following is correct?

  5. If (x + 1) and (x - 2) are the factors of the polynomial p(x) = x 3- ax 2+ bx + 6, then the respective values of a and b are:

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