What is the HCF of acx^{3}+bcx^{2}+adx^{2}+acdx+bdx+bcd and adx^{3}+acx^{2}+bdx^{2}+bcx+acdx+bcd if HCF (c,d)=1 c\ne d?
- A. bx+c
- B. cx+d
- C. ax+d
- D. ax+b ✓
Correct Answer: D. ax+b
Explanation
Factorizing the first polynomial gives (ax+b)(cx^2+dx+cd), and the second polynomial factors to (ax+b)(dx^2+cx+cd). Since HCF(c,d)=1 and c \neq d, their common factor is (ax+b).
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