Verified Answer :

2x² + 16x + 30 

Step 1: Solve the quadratic equation to get x1 and x2. In this example 

we have: x₁ = −3     and     x₂ = −5

Step 2: To find factored form we use formula

ax²+bx+c=a(x−x₁)(x−x₂)

a=2 , b=16 , c=30 , x1=−3 , x2=−5
Substitute the values, 
It would be: 2(x+3)(x+5)

In short, Your Answer would be Option B

Hope this helps!

olemakpadu

2x² + 16x + 30

2(x² + 8x + 15)

So we factorize (x² + 8x + 15)

As long as the coefficient of x², is 1. we look at the last term, 15 and think of two numbers that multiply to 15 and add up 8.

15 = 3*5            3 + 5 = 8

x² + 8x + 15

x² + 3x + 5x + 15

x(x + 3) + 5(x + 3)

(x + 3)(x + 5)

2(x² + 8x + 15) = 2(x + 3)(x + 5)

Option B.

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