Answer:
20 + 4k = 4(5 + k)
Explanation:
1. Find the highest common factor of 20 and 4.
One way is to use the method of upside-down division.
2) 20 4
2) 10 2
5 1
We continue dividing until we get two numbers that are relatively prime, that is, they have no common factors other than 1.
There are two 2s on the side, so the highest common factor of 20 and 4 is 2 × 2 = 4.
2. Use the distributive property to factor the expression
The distributive property states that
a(b + c) = a·b + a·c
We can use this property to rewrite the expression as the product of the highest common factor and the other parts of the polynomial.
20 + 4k = 4(5 + k)