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Advocard [28]
3 years ago
13

Find the difference of 9x^2 + 5x - 6 and 2x^2 - 7x + 14 ​

Mathematics
1 answer:
NeTakaya3 years ago
3 0

Answer: 4

Step-by-step explanation: when finding the difference you're subtracting the 2 so 8-4=4 9x^2 + 5x - 6= 8

Factoring  9x2+5x-6  

The first term is,  9x2  its coefficient is  9 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  -6  

Step-1 : Multiply the coefficient of the first term by the constant   9 • -6 = -54  

Step-2 : Find two factors of  -54  whose sum equals the coefficient of the middle term, which is   5 .

     -54    +    1    =    -53  

     -27    +    2    =    -25  

     -18    +    3    =    -15  

     -9    +    6    =    -3  

     -6    +    9    =    3  

     -3    +    18    =    15  

     -2    +    27    =    25  

     -1    +    54    =    53  

=8

2x^2 - 7x + 14 ​=4

actoring  2x2-7x+14  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  +14  

Step-1 : Multiply the coefficient of the first term by the constant   2 • 14 = 28  

Step-2 : Find two factors of  28  whose sum equals the coefficient of the middle term, which is   -7 .

=4

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