Find all integers b so that the trinomial can be

ajedrezlaproa6j

ajedrezlaproa6j

Answered question

2021-12-08

Find all integers b so that the trinomial can be factored.
3x2+bx+5

Answer & Explanation

Donald Cheek

Donald Cheek

Beginner2021-12-09Added 41 answers

The given trinomial is 3x2+bx+5.
The polynomial is of the form of ax2+bxy+cy2.
The first step is to multiply the constants a and c:
ac=3(5)
=15
Now,
Find the factors of ac that add together to get b. That is, we need to find the factors of 15 that sum to b.
The possible factorization of 15 are,
15,1 5, 3 -15, -1 and -5, -3
Since the factors must sum to get b, the possibilities of b are
15+1=16, 5+3=8, -15-1=-16 and -5-3=-8.
Thus, b can be 16,8,-16 or -8.

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