Question

Find the least common multiple of the pair of polynomials. 2y^2-50 and y+5The least common multiple is ______. (Simplify your answer.)

Answer 1

Given the polynomials:

$\begin{gathered} 2y^2-50 \\ \\ y+5 \end{gathered}$

You can find the Least Common Multiply between them as follows:

1. Factor the first polynomial:

$=2(y^2-25)$

Because 2 is common in all the terms of the polynomial.

$=2(y-5)(y+5)$

2. Notice that you do not need to factor the second polynomial.

3. Multiply the common and noncommon factors with the greatest exponent. Then:

Therefore:

$LCM=2(y-5)(y+5)$

Hence, the answer is:

$LCM=2(y-5)(y+5)$