







The remainder theorem 
20160327 

From Pratyasha: A quadratic polynomial when divide by x+2 leaves a remainder of 1 and when divided by x1 leaves a remainder of 4. What will be the remainder if it is divided by (x+2)(x1)? Answered by Penny Nom. 





Polynomial division 
20160325 

From Ashley: (4x4+6x^3x^2)/(3x2)
The instructions say to "perform the division". Answered by Penny Nom. 





Two polynomials are divisible by x  2 
20121226 

From Tehmas: Determine the values of m and n so that the polynomials 2x^3+mx^2+nx3 and x^33mx^2+2nx+4 are both divisible by x2. Answered by Penny Nom. 





3x^33x3 and 3x+6 
20091104 

From spencer: My question is 3x^33x3 devided by 3x+6 Answered by Penny Nom. 





Explaining the factoring for the difference of cubes 
20080116 

From Bill: A student asked me where did the "difference of cubes" and "sum of cubes" come from. I did not have an answer for her. She is very bright and understands how they work but wanted to know where they derived from. Any help you can offer would be great. Thanks Answered by Stephen La Rocque. 





16x^2+4xy^2+8x divided by 4xy 
20070902 

From Ricardo: how can i solve that problem of polynomial division?
16x^2+4xy^2+8x divided by 4xy Answered by Penny Nom. 





A fifth degree polynomial 
20060313 

From Forrest: When f(x) = x^{5}  3x^{4}  6x^{3} + 3ax^{2}  24 is divided by x^{2}  2 the remainder is bx.
Find the values of a and b.
Hence solve the equation f(x) = 8x Answered by Penny Nom. 





f(x) is a polynomial of degree 3. 
20060313 

From Meadow: f(x) is a polynomial of degree 3. It leaves a remainder of 10 and 4 when divided by
x + 1 and x  2 respectively. Given also that f(1) = f(2) = 0, find the remainder when
f(x) is divided by x  3. Answered by Penny Nom. 





Polynomial division 
20040113 

From Efrat:
How do we divide the following polynomials?
(x^{3} + x^{2}  x + 2) / (x + 2)
Answered by Penny Nom. 

