HCF of given polynomials by factorising
This type of question, asked 9 times: CDS 2 2020, CDS 1 2021, CDS 2 2022, CDS 2 2023, CDS 1 2024, CDS 2 2024, CDS 1 2025, CDS 2 2025, CDS 2 2026. All 9 questions below, oldest first.
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Question 1
CDS 2 2020
31What is the HCF of the polynomials x6−3x4+3x2−1 and x3+3x2+3x+1 ?
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Question 2
CDS 1 2021
16What is the HCF of x3−19x+30 and x2−5x+6?
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Question 3
CDS 2 2022
5What is the HCF of (x8−y8) and (x7−y7+x5y2−x2y5) ?
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Question 4
CDS 2 2023
19What is the HCF of
acx3+bcx2+adx2+acdx+bdx+bcd and
adx3+acx2+bdx2+bcx+acdx+bcd
if HCF(c,d)=1, c=d ?
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Question 5
CDS 1 2024
23What is the HCF of x4−13x2y2−300y4, x3−4x2y−4xy2−5y3 and x3−125y3 ?
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Question 6
CDS 2 2024
37What is HCF of a4+2a3+3a2+2a+1 and a6−2a3+1 ?
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Question 7
CDS 1 2025
83What is the HCF of the polynomials x8+x4+1 and x4+x2+1 ?
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Question 8
CDS 2 2025
16What is the HCF of x3+y3+3xy−1 and (x+y)4−1?
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Question 9
CDS 2 2026
18What is the HCF of x3+x2y−10xy2+8y3 and x3+x2y−4xy2−4y3 ?
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