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A polynomial with three unlike terms?
A trinomial.
How do you count terms in polynomials?
Terms in polynomials are simply separated by a plus or minus sign. For example, if you had: x+12x, that would be a binomial (two terms). A trinomial is when the expression has three or more terms, 7x+12x-6x.
In which situation would you factor out -1 from a trinomial?
You would factor out -1 (a) from a trinomial in an equation such as -a^2 +30a - 2a + 60 after the middle term has been separated. The final answer of this trinomial would then be (a-30) (a-30).
Which of the binomials below is a factor of this trinomial x2-10x-39?
The factors of that trinomial are (x - 13) and (x + 3) . Neither of them appears below.
Can you factor the gcf after factoring out the trinomials?
If you've factored out the trinomials and want to find the greatest common factor (GCF) of the remaining terms, you can look for common factors among the coefficients and variables in each term. Let's say you have factored the trinomial � � 2 � � � ax 2 +bx+c into the form � ( � − � ) ( � − � ) a(x−r)(x−s), where � r and � s are the roots or solutions of the trinomial. Now, let's consider the factored form of the trinomial along with any additional terms you have: � ( � − � ) ( � − � ) additional terms a(x−r)(x−s)+additional terms To find the GCF, you'll look for common factors in the coefficients and variables. The GCF will be the product of the common factors. For example, if the remaining terms are 2 � − 4 2x−4, you can factor a 2 from both terms: 2 ( � − � ) ( � − � ) 2 ( � − 2 ) 2(x−r)(x−s)+2(x−2) Now, the GCF is 2 2 because it is the common factor in both terms. If you have specific trinomials or terms you'd like help factoring, feel free to provide them, and I can guide you through the process
