1. Factor this quadratic function:2x2 + 12x +16

Step-by-step explanation:

We can start with the observation that every coefficent in the quadratic is a multiple of 2. Factoring out the 2, our expression becomes . Let's focus on the second term, . To factor this, we want to find two numbers that multiply to 8 and add to 6. 4 · 2 = 8 and 4 + 2 = 6, so we can use that fact to split the middle term and factor the quadratic completely:

Putting that back with the 2 we factored out earlier, our fully factored function is

y=mx+b

step-by-step explanation:

m slope, b y-intercept