What is the factorization of the polynomial below 2x²+20x+50

2(x + 5)^2 Or B since you would have to rewrite as 2((x +5)(x + 5)) to convert it back to its original form.

Step-by-step explanation:

So we need to factor 2 out of 2x^2

2(x^2) + 20x + 50

Then 2 out of 20x

2(x^2) + 2(10x) + 50

Then 2 out of 50

2x^2 + 2(10x) + 2 * 25

Then 2 out of 2x^2 + 2(10x)

2(x^2 + 10x) + 2 * 25

Then 2 out of 2(x^2 + 10x) + 2 * 25

2(x^2 + 10x + 25)

Now we want to factor with the perfect square rule.

So Rewrite 25 as 5^2

2(x^2 + 10x + 5^2)

Check that our middle term is two times the product of the numbers squared in the first and the third term!

10x = 2 * x * 5

Rewrite

2(x^2 + 2 *x * 5 +5^2)

Factor with the forumla of a perfect square trinomial where a^2 + 2ab + b^2 = (a + b)^2

a = x and b = 5

2(x + 5)^2

seems like d

step-by-step explanation: