Question

Factor the following trinomial complete 3p² -16p+16

Answer 1

To factor the trinomial 3p² - 16p + 16, you can use factoring by grouping. Group the terms, factor out the common binomial factor, and simplify to get the factored form.

Step-by-step explanation:

To factor the trinomial 3p² - 16p + 16, we need to find two binomials that multiply together to give us the original trinomial. To do this, we can use the quadratic formula or factoring by grouping.

First, let's try factoring by grouping. We group the terms like this: (3p² - 12p) + (-4p + 16). Then, we factor out the common factor from each group: 3p(p - 4) - 4(p - 4).

Now, we can see that we have a common binomial factor of (p - 4), so we can factor it out: (3p - 4)(p - 4) = 3p² - 12p - 4p + 16 = 3p² - 16p + 16.