Advertisements
Advertisements
प्रश्न
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
Advertisements
उत्तर
p(x) = 4x3 – 12x2 + 14x – 3, g(x) = 2x – 1
Let g(x) = 2x – 1
2x – 1 = 0
2x = 1
∴ x = `1/2`
`"p"(1/2) = 4(1/2)^3 - 12(1/2)^2 + 14(1/2) - 3`
= `4 xx 1/8 - 12 xx 1/4 + 7 - 3`
= `1/2 - 3 + 4`
= `(1 - 6 + 8)/2`
= `3/2`
∴ Remainder = `3/2`.
APPEARS IN
संबंधित प्रश्न
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.
Find the value of ‘m’, if mx3 + 2x2 – 3 and x2 – mx + 4 leave the same remainder when each is divided by x – 2.
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(54m3 + 18m2 − 27m + 5) ; (m − 3)
If the polynomial y3 − 5y2 + 7y + m is divided by y + 2 and the remainder is 50 then find the value of m.
What number should be added to 2x3 - 3x2 + 7x -8 so that the resulting polynomial is exactly divisible by (x-1) ?
use the rernainder theorem to find the factors of ( a-b )3 + (b-c )3 + ( c-a)3
Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 5x2 – 1x + 4
What number must be added to 2x3 – 7x2 + 2x so that the resulting polynomial leaves the remainder – 2 when divided by 2x – 3?
(x – 2) is a factor of the expression x3 + ax2 + bx + 6. When this expression is divided by (x – 3), it leaves the remainder 3. Find the values of a and b.
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by x – 2
