Factorise 7x2-5x-12 by splitting the middle term.
Answers
Answer:
Step-by-step explanation:
x=−1
x=712=1.714
See steps
Step by Step Solution:
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Step by step solution :
Step 1 :Equation at the end of step 1
(7x2 - 5x) - 12 = 0
Step 2 :Trying to factor by splitting the middle term
2.1 Factoring 7x2-5x-12
The first term is, 7x2 its coefficient is 7 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 7 • -12 = -84
Step-2 : Find two factors of -84 whose sum equals the coefficient of the middle term, which is -5 .
-84 + 1 = -83
-42 + 2 = -40
-28 + 3 = -25
-21 + 4 = -17
-14 + 6 = -8
-12 + 7 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 7
7x2 - 12x + 7x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (7x-12)
Add up the last 2 terms, pulling out common factors :
1 • (7x-12)
Step-5 : Add up the four terms of step 4 :
(x+1) • (7x-12)
Answer:
x = -1
x = 12/7 = 1.714
tow solution
Step-by-step explanation:
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