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Adalyn
Mathematics
22 December, 21:11
Which binomial is a factor of x2 + 2x - 15?
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Yamilet
22 December, 21:15
0
To factories, we firstly need two brackets, each containing an x.
(x) (x)
This creates the x 2 term.
Now we need to get the rest of the terms. To do this, we need two factors of - 15 which will add/subtract to give us + 2
The two factors that do this are
- 3 and 5, as - 3 + 5 = 2
Answer: (x - 3) (x + 5)
You can check by expanding it out.
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Cantrell
22 December, 21:27
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D. (x - 3)
Step-by-step explanation:
Break the expression into groups
(x²-3x) + (5x-15)
Factor out x from x²-3x
x (x-3)
Factor out 5 from 5x-15
5 (x-3)
x (x-3) + 5 (x-3)
Factor out the common term (x-3)
(x-3) (x+5)
(x-3) and (x+5) are binomials of x²+2x-15
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