Find all integers b so that the trinomial can be

Salvatore Boone

Salvatore Boone

Answered question

2021-12-06

Find all integers b so that the trinomial can be factored.
4x2+bx1

Answer & Explanation

trisanualb6

trisanualb6

Beginner2021-12-07Added 32 answers

The given trinomial is 4x2+bx1
The polynomial is of the form of ax2+bxy+cy2.
The first step is to multiply the constants a and c:
ac=4(-1)
=-4
Now,
Find the factors of ac that add together to get b. That is, we need to find the factors of -4 that sum to b.
The possible factorization of -4 are,
-4,1 -2, 2 4,-1
Since the factors must sum to get b, the possibilities of b are
-4+1=-3, -2+2=0, 4-1=3.
Thus, b can be -3,3 or 0.

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