2015 · Q34
Which one of the following is correct?
Elementary MathematicsAlgebra
- A(x+2) is a factor of x^{4}-6 x³+12 x²-24 x+32
- B(x+2) is a factor of x^{4}+6 x³-12 x²+24 x-32
- C(x-2) is a factor of x^{4}-6 x³+12 x²-24 x+32
- D(x-2) is a factor of x^{4}+6 x³-12 x²+24 x-32
Explanation
By the factor theorem, test x = 2 in x^4 - 6x^3 + 12x^2 - 24x + 32: 16 - 48 + 48 - 48 + 32 = 0, so (x - 2) is a factor. Hence option (c).