Advertisements
Advertisements
Question
Write the remainder when the polynomialf(x) = x3 + x2 − 3x + 2 is divided by x + 1.
Advertisements
Solution
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
RELATED QUESTIONS
Write the degrees of the following polynomials:
`12-x+2x^3`
Find the remainder when x3 + 3x2 + 3x + 1 is divided by 5 + 2x .
f(x) = 3x4 + 17x3 + 9x2 − 7x − 10; g(x) = x + 5
Factorize of the following polynomials:
4x3 + 20x2 + 33x + 18 given that 2x + 3 is a factor.
2x4 − 7x3 − 13x2 + 63x − 45
If x + 1 is a factor of x3 + a, then write the value of a.
If x51 + 51 is divided by x + 1, the remainder is
If (x − 1) is a factor of polynomial f(x) but not of g(x) , then it must be a factor of
Factorise the following:
t² + 72 – 17t
Factorise:
x3 – 6x2 + 11x – 6
