Latest Others Aptitude Question SOLUTION: What number should be subtracted from x3 + 4x2 - 7x + 12 if it is to be perfectly divisible by x + 3? 42 39 13 None of these

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(#M40019341) OTHERS question Keep an EYE

What number should be subtracted from x3 + 4x2 - 7x + 12 if it is to be perfectly divisible by x + 3?
42
39
13
None of these

Asked In Others mohan lal garg (10 years ago)

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Vyas Akondi  (4 years ago)

Use Remainder Theorem.

If f(x) is divided by (x - a), the remainder is given by f(a).

f(x) = x³ + 4x² - 7x + 12 and a = -3.

f(a) = (-3)³ + 4(-3)² -7(-3) + 12

= -27 + 36 + 21 + 12 = 42

=> 42 should be subtracted from given function to make divisible by (x + 3)

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