Advertisements
Advertisements
Question
Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 2x3 – 7x2 + 3
Advertisements
Solution
Let x – 2 = 0, then x = 2
Substituting value of x in f(x)
f(x) = 2x3 – 7x2 + 3
∴ f(2) – 2(2)3 – 7(2)2 + 3 = 16 – 28 + 3
Hence Reminnder = –9.
APPEARS IN
RELATED QUESTIONS
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x + π.
Check whether 7 + 3x is a factor of 3x3 + 7x.
Using the remainder theorem, find the remainders obtained when x3 + (kx + 8 )x + k is divided by x + 1 and x − 2.
Hence, find k if the sum of the two remainders is 1.
What number should be subtracted from the polynomial f(x)= 2x3 - 5x2 +8x -17 so that the resulting polynomial is exactly divisible by (2x - 5)?
Use remainder theorem and find the remainder when the polynomial g(x) = x3 + x2 – 2x + 1 is divided by x – 3.
When 2x3 – x2 – 3x + 5 is divided by 2x + 1, then the remainder is
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by x + 3
If x51 + 51 is divided by x + 1, then the remainder is
By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = 4x3 – 12x2 + 14x – 3, g(x) = 2x – 1
If x25 + x24 is divided by (x + 1), the result is ______.
