please someone solve this resolve into factors
Answers
Answer:
3x2-14x+8
Final result :
(x - 4) • (3x - 2)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(3x2 - 14x) + 8
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 3x2-14x+8
The first term is, 3x2 its coefficient is 3 .
The middle term is, -14x its coefficient is -14 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 3 • 8 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -14 .
-24 + -1 = -25
-12 + -2 = -14 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -2
3x2 - 12x - 2x - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-4)
Add up the last 2 terms, pulling out common factors :
2 • (x-4)
Step-5 : Add up the four terms of step 4 :
(3x-2) • (x-4)
Which is the desired factorization
Final result :
(x - 4) • (3x - 2)
Step-by-step explanation:
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Step-by-step explanation:
x = -4
or
x = 0
!!!!!!!!!!!