When f(x)=3* + ax2 + b3 + 2 is divided by (2-1),
it leaves a remainder of 5 and when övided by
6 + 1), the remainder is 13. Using rense
theorem, find the values of a and bio).
2. When f(x)= az? - bri2 * 4-1 is divided by (22-1).
it leaves a remainder of -1 and when vided by
(23 + 1), it leaves a remainder of
12
흘
Using
1
2
remainder theoren, find the values of aand 5.
3. If 212 + ax + bx - 6 has a factor (2x + 1) and
leaves the remainder 12 when divided by (7-2)
Calculate the values of a and b, hence factorise the
expression completely.
4. Show that (-1), (5-2) and G-3) are the factors
of the polynomial f(x) = *-632 * 112-6.
5. Show that (1-1) and (+4 are factors of the
polynomial * * *2- 102 + 8.
6. Factorise 25 + 322 - 5% - 6 using remainder
theorem
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