Answer:
x = 3 . . . or . . . x = 4
Step-by-step explanation:
The factored form is ...
(x -3)(x -4) = 0
The zero product rule tells you the solutions are the values of x that make the factors be zero:
x = 3
x = 4
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Comment on factoring
When the leading coefficient is 1, the coefficient of the x-term is the sum of the constants in the binomial factors, and the constant term is their product. You can see this by multiplying out the generic case:
(x +a)(x +b) = x^2 +(a+b)x + ab
What this means is that when you're factoring, you're looking for factors of the constant that add up to give the coefficient of the x-term. Here, the x-term is negative and the constant is positive, so both factors will be negative.
12 = -1×-12 = -2×-6 = -3×-4
The sums of these factor pairs are -13, -8, -7. Clearly, the last pair of factors of 12 will be useful to us, since that sum is -7. So, the binomial factors of our equation are ...
(x -3)(x -4) = 0
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If the leading coefficient is not zero, the method of factoring is similar, but slightly different. Numerous videos and web sites discuss the method(s).
Answer:
B
Step-by-step explanation:
Firstly the unfilled circle means that it is not equal to
If you read the scale the unfilled circle is at -1 and the arrow is pointing left.
This means that x is smaller than -1 or -1 is greater than x read in the form x<-1
The filled circle means x can be equal to, in this case, 4. The arrow is pointing right so x is greater or equal to 4
x≥4
Therefore the answer is b
Hope this helps
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Answer:
the answer of this question is = 6x + 18
The larger number is 51 and the smaller number is 12. ( hope I helped) have a good day