find the hcf of 5xy and 15x
You asked:
Find the polynomial greatest common divisor of the following expressions: \(5 x y\), \(15 x\)
MathBot Answer:
The greatest common divisor is \(5 x\).
Begin by factoring all expressions completely. $$\begin{aligned}5 x y &= 5 \cdot x \cdot y\\15 x &= 3\cdot 5 \cdot x\\\end{aligned}$$
Find the greatest common divisor by multiplying common factors together, including only the lowest power of those factors which are common to all expressions. \[\operatorname{gcd}(5 x y, 15 x) = 5\cdot (x)^{1} = 5 x\]