Sun	Mon	Tue	Wed	Thu	Fri	Sat
27	28	29	30	31	1	2
3	4	5	6	7	8	9
10	11	12	13	14	15	16
17	18	19	20	21	22	23
24	25	26	27	28	29	30
31	1	2	3	4	5	6

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Multiple Choice Questions

If x ndash 6 is the HCF of x2 ndash 2x ndash 24 and x2 ndash kx ndash 6 then what is the v...........

Quantitative Aptitude (CCS) Algebra

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If (x – 6) is the HCF of x² – 2x – 24 and x² – kx – 6, then what is the value of k?

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Explanation:

Given that, (x – 6) is the HCF of x² – 2x – 24 and x² – kx – 6,
i.e., (x – 6) is a factor of both expression,
Let f(x) = x² – 2x – 24 and g(x) = x² – kx – 6
Now, f(x) = g(x) at (x = 6)
⇒ (6)² – 2(6) – 24 = (6)² – k(6) – 6
⇒ 36 – 12 – 24 = 36 – 6k – 6
⇒ 0 = 30 – 6k ⇒ 6k = 30 ⇒ k = 5.