Advertisements
Advertisements
Question
Find the remainder when x3 + 4x2 + 4x − 3 is divided by x.
Solution
When the polynomial f(x) = x3 + 4x2 + 4x − 3 is divided by x the remainder will be.
`f(0) = (0)^3 + 4(0)^2 + 4(0) - 3 = -3.`
Thus, the reminder = −3
APPEARS IN
RELATED QUESTIONS
Write the coefficient of x2 in the following:
`pi/6x^2- 3x+4`
f(x) = 2x4 − 6x3 + 2x2 − x + 2, g(x) = x + 2
f(x) = 2x3 − 9x2 + x + 12, g(x) = 3 − 2x
Find the values of p and q so that x4 + px3 + 2x3 − 3x + q is divisible by (x2 − 1).
If x3 + ax2 − bx+ 10 is divisible by x2 − 3x + 2, find the values of a and b.
x3 + 13x2 + 32x + 20
Factorize of the following polynomials:
4x3 + 20x2 + 33x + 18 given that 2x + 3 is a factor.
If x + 1 is a factor of x3 + a, then write the value of a.
If x3 + 6x2 + 4x + k is exactly divisible by x + 2, then k =
If (x − 1) is a factor of polynomial f(x) but not of g(x) , then it must be a factor of