what is the value of the product of 2x^2+4x+6=0
Answers
Answer:
STEP
1
:
Equation at the end of step 1
(2x2 - 4x) - 6 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x2 - 4x - 6 = 2 • (x2 - 2x - 3)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 2x - 3
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + 1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
x2 - 3x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-3)
Which is the desired factorization
Equation at the end of step
3
:
2 • (x + 1) • (x - 3) = 0
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