Maths

posted by .

3 2
If 3x+ax+bx+4 has x+1 as factor and leaves remainder 2 when divided by x-1, find the value of a and b.

• Maths -

f(x)=3x^3+ax^2+bx+4

f(1)=2 => 3+a+b+4 = 2 ....(1)
f(-1)=0 => -3+a-b+4=0 ....(2)
can you solve the system defined by (1) and (2) with a and b as unknowns?

Hint: both a and b are negative.

Similar Questions

1. Math

What is the smallest number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, when divided by 8 leaves a remainder of 7 & so on until when divided by 2 leaves a remainder of 1?
2. maths

ifx^3+mx^2+nx+6 has x-2 as a factor and leaves remainder 3 when divided by x-3, find the values of m and n.
3. maths

f(x)=px^3 + 6x^2 + 12x + q given that the remainder when f(x) is divided by (x - 1) is equal to the remainder when f(x) is divided by (2x + 1), (a) find the value of p. given also that q = 3, and p has the value found in part (a) (b) …
4. Math

Find the least positive integer that leaves the remainder 3 when divided by 7, remainder 4 when divided by 9, and remainder 8 when divided by 11. Using the Chinese Remainder Theorem.
5. Math

How many integers bewteen 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4?
6. Math

How many integers between 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4?
7. Maths

Let f(x)=2x^2+40x+25. Given that f(x) leaves the same remainder when divided by x−a as when divided by x+2a for a positive integer a, what is the value of a?
8. MATHS

A number has 3 digits. When it is divided by 6 or 7, it leaves a remainder of 1. When it is divided by 8 or 11, it leaves 2 remainder of 7. What is the largest such number?
9. math

1.) when the expression 4x^2-3x-8 is divided by x-a, the remainder is 2. find the value of a. 2.) the polynomial 3x^3+mx^2+nx+5 leaves a remainder of 128 when divided by x-3 and a remainder of 4 when divided by x+1. calculate the remainder …
10. maths

A number on being divided by 10 and 11 successively leaves the remainders 5 and 7. Find the number. ie, x/10 = remainder 5 and x/11 = remainder 7. please help me to find the value of x.

More Similar Questions