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Chickie
Mathematics
16 April, 21:35
B2-4b+4=0 using quadratic forumla
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Sariah Hammond
16 April, 21:38
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Trying to factor by splitting the middle term
Factoring b2-4b+4
The first term is, b2 its coefficient is 1.
The middle term is, - 4b its coefficient is - 4.
The last term, "the constant", is + 4
Step-1 : Multiply the coefficient of the first term by the constant 1 • 4 = 4
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is - 4.
-4 + - 1 = - 5 - 2 + - 2 = - 4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 2 and - 2
b2 - 2b - 2b - 4
Step-4 : Add up the first 2 terms, pulling out like factors:
b • (b-2)
Add up the last 2 terms, pulling out common factors:
2 • (b-2)
Step-5 : Add up the four terms of step 4:
(b-2) • (b-2)
Which is the desired factorization
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