Advertisements
Advertisements
प्रश्न
Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 3x3 + 7x2 – 5x + 1
उत्तर
Let x + 3 = 0
⇒ x = -3
Substituting the value of x in f(x),
f(x) = 3x3 + 7x2 – 5x + 1
= 3(–3)3 + 7(–3)2 – 5(–3) + 1
= –81 + 63 + 15 + 1
= –2
Hence Reminder = –2.
APPEARS IN
संबंधित प्रश्न
Find the remainder when x4 – 3x2 + 2x + 1 is divided by x – 1.
Use the Remainder Theorem to find which of the following is a factor of 2x3 + 3x2 – 5x – 6.
x + 1
When x3 + 2x2 – kx + 4 is divided by x – 2, the remainder is k. Find the value of constant k.
If x3 + ax2 + bx + 6 has x – 2 as a factor and leaves a remainder 3 when divided by x – 3, find the values of a and b.
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(54m3 + 18m2 − 27m + 5) ; (m − 3)
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x + 2
Using the Remainder Theorem, factorise completely the following polynomial:
3x2 + 2x2 – 19x + 6
When x3 – 3x2 + 5x – 7 is divided by x – 2,then the remainder is
When 2x3 – 9x2 + 10x – p is divided by (x + 1), the remainder is – 24.Find the value of p.
If x51 + 51 is divided by x + 1, then the remainder is