Which linear expression is a factor or zero: test each candidate root
This type of question, asked 7 times: CDS 1 2017, CDS 2 2017, CDS 1 2018, CDS 1 2021, CDS 2 2021, CDS 2 2025, CDS 1 2026. All 7 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 1 2017
2
(x+4) is a factor of which one of the following expressions ?
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Question 2
CDS 2 2017
3
What are the factors of x3+4x2−11x−30 ?
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Question 3
CDS 1 2018
13
Which one of the following is a zero of the polynomial 3x3+4x2−7?
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Question 4
CDS 1 2021
25
4x3+12x2−x−3 is divisible by
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Question 5
CDS 2 2021
2
Which one of the following is a factor of the polynomial (x−1)(x−2)(x−4)−90 ?
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Question 6
CDS 2 2025
9
(x+2) is a factor of which one of the following?
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Question 7
CDS 1 2026
8
Which of the following expressions can divide both the polynomials x3+2x2−5x+2 and x3+4x2+x−6 exactly ?
I. x−1
II. x+1
III. x+2
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