Sun	Mon	Tue	Wed	Thu	Fri	Sat
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	1	2	3
4	5	6	7	8	9	10

Back to Main Page

Multiple Choice Questions

x3 6x2 11x 6 is divisible by ........

Quantitative Aptitude and Numerical Ability (DRDO) (Phase-i and II) Algebra

Download Solution PDF

x³ + 6x² + 11x + 6 is divisible by

Only (x + 1)

Only (x + 2)

Only (x + 3)

All of these

छोटे Courses बड़े Results

Master Algebra

Prepare through Micro-courses

Try Now

Explanation:

Let f(x) = x³ + 6x² + 11x + 6
f(x) = 0. So, put x = – 1, –2 and –3
f(–1) = (–1)³ + 6(–1)²+ 11(–1) + 6 = –1 + 6 – 11 + 6
= –12 + 12 = 0.
f(–2) = (–2)³ + 6(–2)²+ 11(–2) + 6 = –8 + 24 – 22 + 6
= –30 + 30 = 0.
f(–3) = (–3)³ + 6(–3)²+ 11(–3) + 6 = –27 + 54 – 33 + 6
= –60 + 60 = 0.
Hence, (x + 1), (x + 2) and (x + 3) are the factors of f(x).