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lawyer [7]
3 years ago
9

Which binomial is a factor of x2 + 2x − 15?

Mathematics
2 answers:
GrogVix [38]3 years ago
8 0

Answer:

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

Tems11 [23]3 years ago
5 0

Explanation:

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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