Factor the trinomial
2 answers:
Lets get started :)
x² - 7x + 10
We are going to find something in this form:
↓
( )( )
x² is nothing but x multiplied by itself
↓
(x )(x )
-7x + 10 follows
since the sum is negative and the product is positive then the signs inside the bracket will be as follows
↓
( x - )( x - )
-7x should be the sum and 10 should be the product
multiples of 10 = 1 x 10 = 2 x 5 = -1 x -10 = -2 x -5
↓ ↓ ↓ ↓
1 + 10 = 11 2 + 5 = 7 -1 - 10 = -11 = -2 -5 = -7
So the sum of -2 and -5 is -7 and the product of -2 and -5 is 10
↓
( x - 2 )( x - 5 )
Your final answer will be option B
x² - 7x + 10
We are going to find something in this form:
↓
( )( )
x² is nothing but x multiplied by itself
↓
(x )(x )
-7x + 10 follows
since the sum is negative and the product is positive then the signs inside the bracket will be as follows
↓
( x - )( x - )
-7x should be the sum and 10 should be the product
multiples of 10 = 1 x 10 = 2 x 5 = -1 x -10 = -2 x -5
↓ ↓ ↓ ↓
1 + 10 = 11 2 + 5 = 7 -1 - 10 = -11 = -2 -5 = -7
So the sum of -2 and -5 is -7 and the product of -2 and -5 is 10
↓
( x - 2 )( x - 5 )
Your final answer will be option B
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