Advertisements
Advertisements
प्रश्न
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x + 2
Advertisements
उत्तर
p(x) = 4x3 - 3x2 + 2x - 4 ...(i)
By the remainder theorem the required remainder = p(2).
Put x = -2 in equation (i), we get
p(-2) = 4(-2)3 -3(-2)2 + 2(-2)-4
= 4 x (-8) -3 x 4 -4 -4
= -32 -12 -4 -4
= -52
Hence, the remainder is -52.
संबंधित प्रश्न
Using the Remainder and Factor Theorem, factorise the following polynomial:
`x^3 + 10x^2 - 37x + 26`
If (x – 2) is a factor of the expression 2x3 + ax2 + bx – 14 and when the expression is divided by (x – 3), it leaves a remainder 52, find the values of a and b.
Using the Remainder Theorem, factorise the following completely:
4x3 + 7x2 – 36x – 63
Find without division, the remainder in the following:
2x3 - 3x2 + 6x - 4 is divisible by (2x-3)
What number should be subtracted from x2 + x + 1 so that the resulting polynomial is exactly divisible by (x-2) ?
Use remainder theorem and find the remainder when the polynomial g(x) = x3 + x2 – 2x + 1 is divided by x – 3.
Find the remainder (without division) on dividing 3x2 + 5x – 9 by (3x + 2)
If (x – 2) is a factor of the expression 2x3 + ax2 + bx – 14 and when the expression is divided by (x – 3), it leaves a remainder 52, find the values of a and b.
If x + 1 is a factor of 3x3 + kx2 + 7x + 4, then the value of k is
If x51 + 51 is divided by x + 1, then the remainder is
