3x²-4x-7
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Answers
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)
Which is the desired factorization
Answer:
3x²-4x-7
using quadratic equation
-(-4)±√(-4)²-4(3)(-7)/2(3)
4±√16+84/6
4±√100/6
4±10/6
x= 4+10/6
14/6. = 7/3
x= 4-10/6.
-6/6. = -1
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