Advertisements
Advertisements
प्रश्न
What must be subtracted from the polynomial x3 + x2 – 2x + 1, so that the result is exactly divisible by (x – 3)?
विकल्प
– 31
– 30
30
31
Advertisements
उत्तर
31
Explanation:
On dividing x3 + x2 – 2x + 1 by (x – 3), we get
Put x = 3, then by remainder theorem
P(3) = 33 + 32 – 2 × 3 + 1
= 27 + 9 – 6 + 1
= 36 – 6 + 1
= 31
So, 31 must be subtracted in order to divide p(x) by (x – 3).
संबंधित प्रश्न
Find the remainder when x3 – ax2 + 6x – a is divided by x – a.
Using remainder theorem, find the value of k if on dividing 2x3 + 3x2 – kx + 5 by x – 2, leaves a remainder 7.
What number should be subtracted from x3 + 3x2 – 8x + 14 so that on dividing it by x – 2, the remainder is 10?
When x3 + 3x2 – mx + 4 is divided by x – 2, the remainder is m + 3. Find the value of m.
When divided by x – 3 the polynomials x3 – px2 + x + 6 and 2x3 – x2 – (p + 3) x – 6 leave the same remainder. Find the value of ‘p’.
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.
When x3 + 3x2 – kx + 4 is divided by (x – 2), the remainder is k. Find the value of k.
Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 2x3 – 7x2 + 3
When 2x3 – x2 – 3x + 5 is divided by 2x + 1, then the remainder is
By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = x3 – 3x2 + 4x + 50, g(x) = x – 3
