Advertisements
Advertisements
प्रश्न
Write the remainder when the polynomialf(x) = x3 + x2 − 3x + 2 is divided by x + 1.
उत्तर
When the polynomial f(x), divided by (x +1)the remainder will be
`f(-1)= (-1)^3+(-1)^2 -3(-1)+2`
` = -1 +1 +3 + 2`
` = 5`
Thus, the reminder = 5
APPEARS IN
संबंधित प्रश्न
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`g(x)=2x^3-7x+4`
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the values of the following case, if R1 + R2 = 0.
Show that (x − 2), (x + 3) and (x − 4) are factors of x3 − 3x2 − 10x + 24.
Show that (x + 4) , (x − 3) and (x − 7) are factors of x3 − 6x2 − 19x + 84
Find the value k if x − 3 is a factor of k2x3 − kx2 + 3kx − k.
If x − 3 is a factor of x2 − ax − 15, then a =
If x + 1 is a factor of the polynomial 2x2 + kx, then k =
Factorise the following:
9 – 18x + 8x2
Factorise the following:
m2 + 2mn – 24n2
Factorise:
x3 + x2 – 4x – 4
