Advertisements
Advertisements
प्रश्न
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by x + 3
Advertisements
उत्तर
f(x) = 2x3 – 3x2 + 4x + 7
Let x + 3 = 0, then x = – 3
Substituting the value of x in f(x)
f(–3) = 2(–3)3 – 3(–3)2 + 4(–3) + 7
= 2 x (–27) – 3(9) + 4(–3) + 7
= –54 – 27 – 12 + 7
= – 93 + 7
= – 86
∴ Remainder = – 86.
APPEARS IN
संबंधित प्रश्न
Find the remainder when x3 + 3x2 + 3x + 1 is divided by 5 + 2x.
What number should be subtracted from x3 + 3x2 – 8x + 14 so that on dividing it by x – 2, the remainder is 10?
If the polynomial y3 − 5y2 + 7y + m is divided by y + 2 and the remainder is 50 then find the value of m.
Find without division, the remainder in the following:
2x3 - 3x2 + 6x - 4 is divisible by (2x-3)
What number should be added to 2x3 - 3x2 + 7x -8 so that the resulting polynomial is exactly divisible by (x-1) ?
What number must be added to 2x3 – 7x2 + 2x so that the resulting polynomial leaves the remainder – 2 when divided by 2x – 3?
If x3 + 6x2 + kx + 6 is exactly divisible by (x + 2), then k = ?
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
Determine which of the following polynomials has x – 2 a factor:
4x2 + x – 2
Without actual division, prove that 2x4 – 5x3 + 2x2 – x + 2 is divisible by x2 – 3x + 2. [Hint: Factorise x2 – 3x + 2]
