Question

x^2+8x+15

Transformations of functions
ANSWERED
asked 2021-06-15
\(\displaystyle{x}^{{2}}+{8}{x}+{15}\)

Answers (1)

2021-06-16
We are given: \(\displaystyle{x}^{{2}}+{8}{x}+{15}\)
To factor trinomials in the form \(\displaystyle{x}^{{2}}+{b}{x}+{c}\), think of two factors of c (which are m and n) that add to b so that it factors to (x+m)(x+n).
Here, think of two factors of 15 that when added, the result is 8. These are 3 and 5 so we can factor the trinomial as: (x+3)(x+5)
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