Class 11 Mathematics · Chapter 9 · Test 1
Remainder and Factor Theorems
43 MCQs Covers polynomial terms, the division algorithm, the remainder theorem, the factor theorem and synthetic division.
43 questions · 35 min · 43 marks
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Sample questions
The first 5 of 43. Try each one, then tap to see the answer.
Question 1
In a polynomial a_n x^n + a_(n-1) x^(n-1) + ... + a_1 x + a_0 the number n is:
- Aa positive integer only
- Ba negative integer
- Cany integer
- Da non-negative integer
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Answer: D
The powers of x in a polynomial are non-negative integers.
Question 2
The coefficients of a polynomial function are:
- Areal numbers
- Bonly integers
- Conly positive numbers
- Donly natural numbers
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Answer: A
The coefficients a_n ... a_0 are real numbers.
Question 3
The degree of a polynomial is:
- Athe lowest power of x
- Bthe number of terms
- Cthe highest power of x
- Dthe sum of the coefficients
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Answer: C
The highest power of x (with non-zero coefficient) is the degree.
Question 4
The degree of the polynomial 3x^4 - 2x + 1 is:
- A3
- B4
- C2
- D1
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Answer: B
The highest power of x is 4.
Question 5
The division algorithm for polynomials states that:
- AP(x) = D(x) + Q(x) + R(x)
- BP(x) = D(x)Q(x) - R(x)
- CP(x) = D(x)/Q(x) + R(x)
- DP(x) = D(x)Q(x) + R(x)
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Answer: D
Dividend = Divisor x Quotient + Remainder.
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