In Exercises 1–68, factor completely, or state that the polynomia...

Question

In Exercises 1–68, factor completely, or state that the polynomial is prime. 16y² − 4y − 2

Accepted Answer

Perform complete factorization of the grim expression or categorize it as the prime polynomial where we have 3 85 Y squared plus 20 Y minus five. And our possible answers right here. Now we first want to check our factor 3, 85 Y squared plus 20 Y minus five. We wanna see what we can factor this down to, To start. Let's factor out a five out of everything. Say five times 77 Y squared plus four Y minus one. Now that we're here, we want to factor out our quadratic back to our quadratic. Let's look at our possible factors of A and C. So a 77 C is our -1. Possible factors of 77 Can be 77 and one -77, 11 and seven and -11, For C are possible factors Are one and -1. So we can react this now, five tons, some number Y plus one, Some number Y -1 because the factors are C are one and -1. Now, we want to do trial and error to determine our other factors. If you do trial and error, we can determine that 11 Y and seven Y should be our factors. But actually, if you look here, if we were to test this out, the foil 11 Y times seven Y is the same seven Y squared. However, we get negative 11 plus seven Y. So we actually want to switch our science. The minus will go there and the plus will go here. We're to foil that back out. Level one top 70 Y, I'm sorry. Level one times seven Y 77 Y squared 11 y times one plus 11 y negative one times seven Y is negative seven Y and negative one times one is minus one. Giving us the same equation we had before. Mean our answer it five times 11 Y minus 17 Y plus one. If we look at our possible answers, we can determine the answer to our problem. Turns out to be answers. C OK? I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 1–68, factor completely, or state that the polynomial is prime. 16y² − 4y − 2

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