Question

If a-2 is a factor of a^3-14a^2+37a-2b,what is the other factor?

Answer 1

Answer:

$(a - 2) \\ (a - 2) = 0 \\ a = 2 \\ putting \: the \: value \: of \: a \: on \: the \: equation \\ a {}^{3} - 14a {}^{2} + 37a - 2b \\ 2 {}^{3} - 14( 2) {}^{2} + 37 \times 2 - 2b \\ 8 - 56 + 74 - 2b \\ 26 - 2b = 0 \\ 26 = 2b \\ b = \frac{26}{2} \\ b = 13 \\ here \: is \: your \: solution$