<span>dividend x3 - 11x2 + 16x + 84
- divisor * x2 x3 - 7x2
remainder - 4x2 + 16x + 84
- divisor * -4x1 - 4x2 + 28x
remainder - 12x + 84
- divisor * -12x0 - 12x + 84
remainder 0
Quotient : x2-4x-12 Remainder: 0
Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .
-12 + 1 = -11
-6 + 2 = -4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
x2 - 6x + 2x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
2 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-6)
Which is the desired factorization
Final result :
(x + 2) • (x - 6) • (x - 7)</span>
Fourth one i think (the way u typed the q is confusing)
2x squared +1 - 7x squared +3
M<FIB = 90 - (4x+3)
m<FIB = 87 - 4x
---------------------
m<HFG = 90 - (5x + 4)
m<HFG = 86 - 5x
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<BCF = 180 - (<CBF + <CFB)
<CBF = 10x + 3
<CFB =90 - <CFD
but <CFD = <HFG = 86 - 5x (vertical angles)
<CFB =90 -(86 - 5x) = 4 + 5x
<BCF = 180 - (10x + 3 + 4 + 5x)
<BCF = 180 - (15x + 7)
<BCF = = 173 - 15x
