In Exercises 1–30, factor each trinomial, or state that the trino...

Question

In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² − x + 7

Accepted Answer

Perform factory ization in the given expression or categories as a prime polynomial also perform a check using the foil method where we have M squared minus three M plus 16. Now, we can rewrite this as a product of two factors M plus A times M plus B. Now we need to find what A and B are. We know that A plus B should equal The middle coefficient for the middle term -3. We can find that by finding A TIMES B and finding its factors To pay tens be what we know a is the coefficient of our first term. one B is the coefficient of her final term or it's a constant 16. So eight times b turns out to be 16. Let's go out and find the fastest 16. Now we have 1 16, negative, one negative 16, 28, negative two, negative eight And we have 4, 4, -4 and -4. Let's go and add all these together 17, their negative 17 here 10, and 8 -8. Now we should have one of these factors adding up to equal native three. However, we noticed none of these sums we have equals negative three because we noticed that we will then say our answer is answer D this is a prime trim mobile. Okay. I have to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² − x + 7

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