Question

Solve the following equations using
factor method
3x² 4x-7=0​

Answer 1

Answer:

Step-by-step explanation:

Factoring  3x2-4x-7  

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -4x  its coefficient is  -4 .

The last term, "the constant", is  -7  

Step-1 : Multiply the coefficient of the first term by the constant   3 • -7 = -21  

Step-2 : Find two factors of  -21  whose sum equals the coefficient of the middle term, which is   -4 .

     -21    +    1    =    -20  

     -7    +    3    =    -4    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  3  

                    3x2 - 7x + 3x - 7

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (3x-7)

             Add up the last 2 terms, pulling out common factors :

                    1 • (3x-7)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (3x-7)

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