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artcher [175]
3 years ago
5

How do we know what sign goes outside of the bracket when factoring binomials?

Mathematics
1 answer:
Xelga [282]3 years ago
3 0
I'm assuming you're asking about negative or positive signs here. When I factor binomials, it depends on what would make factoring simpler for me. And how you're factoring the binomial too.

More often than not, it's going to be positive. For example, 4x^2 - 2x = 0. That would factor out to be 2x(2x-1) = 0. The sign outside is going to be positive because it's simpler to solve that way. Here, x is equal to 0 and equal to 1/2. Taking out a negative in this case would complicate the solving process.
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Solve this equation 3(2x+3)=9
Scilla [17]

Answer:

0

Step-by-step explanation:

Isolate the variable x. First, distribute 3 to all terms within the parenthesis.

3(2x + 3) = 3(2x) + 3(3) = 6x + 9

6x + 9 = 9

Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. First, subtract 9 from both sides.

6x + 9 (-9) = 9 (-9)

6x = 0

Divide 6 from both sides.

(6x)/6 = (0)/6

x = 0

0 is your answer.

~

3 0
3 years ago
Read 2 more answers
For the given table of values for a polynomial function, where must the zeros of the function lie?
Jet001 [13]

Answer:

A. Between 3.0 and 3.5 and between 4.0 and 4.5

Step-by-step explanation:

The zeroes of a function occur whenever a value of x returns zero. To predict where the zeroes lie, determine the interval(s) where the function crosses the x-axis. This occurs when either f(x) goes from a negative value to a positive value or vice versa.

From x=3.0 and x=3.5, the y-values go from 4.0 (positive) to -0.2 (negative), respectively. Therefore, there must be a zero in this interval.

From x=4.0 and x=4.5, the y-values go from -0.8 (negative) to 0.1 (positive), respectively. Therefore, there must also be a zero in this interval.

Thus, the zeros of this function occur between 3.0 and 3.5 and between 4.0 and 4.5, leading to answer choice A.

7 0
3 years ago
Question 8(Multiple Choice Worth 3 points)
Nastasia [14]
Answer: C) F(4) = 0

Detailed Explanation:

A zero/root of a polynomial is a value of the variable which makes the value of the polynomial to 0.

Therefore, when (x - 4) is a Factor :-
=> x - 4 = 0
=> x = 4

=> x = 4 is the Zero of the Polynomial.
4 0
2 years ago
Is x + y = 18 linear or non linear?
r-ruslan [8.4K]
A linear equation has 1 for all exponents on the placeholders
aka the equation is first degree (aka the hightest exponent on placeholders=1) so
it is linear
7 0
3 years ago
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the length of a rectangle is 12 inches more than it's width what is it's width of the rectangle if the perimeter is 42 inches​
dimaraw [331]

Answer:

3.5

Step-by-step explanation:

6 0
3 years ago
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