Question

Factor the following expressions completely. Show and check all work on your own paper.

5x2-50x+125

Answer 1

5x2 would be 10 and 10-50x would be negative 40x and 40x + 125 would be 165x

Answer 2

The factored expression is
`5(x - 5)^2.`

Step-by-step explanation:

Begin by factoring out the greatest common factor, which is 5.

Next, recognize that the quadratic expression inside the parentheses is a perfect square trinomial:
`(x^2 - 10x + 25).`

Factor the perfect square trinomial as:
`((x - 5)^2).`

Multiply the common factor 5 with the factored quadratic expression to obtain the final result:
`(5(x - 5)^2).`

In conclusion, the given expression is effectively factored as 5 times the square of the binomial (x - 5), resulting in the simplified form
`5(x - 5)^2.`This representation highlights the common factor and the perfect square trinomial within the original expression.