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lina2011 [118]
3 years ago
7

Explain in easy terms, how the signs of the last terms of the two binomial factors of a trinomial are determined?

Mathematics
1 answer:
shutvik [7]3 years ago
5 0

Explanation:

It helps to understand the process of multiplying the binomials. Consider the simple case ...

  (x +a)(x +b)

The product is ...

  (x +a)(x +b) = x² +(a+b)x + ab

If the <em>constant</em> term (ab) is <em>negative</em>, the signs of (a) and (b) are <em>different</em>.

If the constant term (ab) is <em>positive</em>, the signs of (a) and (b) will both match the sign of the coefficient of the linear term (a+b).

___

Of course, the sum (a+b) will have the sign of the (a) or (b) value with the largest magnitude, so when the signs of (a) and (b) are different, the factor with the largest magnitude will have the sign of (a+b), the x-coefficient.

<u>Example</u>:

  x² -x -6

 -6 tells you the factors will have different signs. -x tells you the one with the largest magnitude will be negative.

  -6 = -6×1 = -3×2 = ... (other factor pairs have a negative factor with a smaller magnitude)

 The sums of these factor pairs are -5 and -1. We want the factor pair that has a sum of -1, the coefficient of x in the trinomial.

  x² -x -6 = (x -3)(x +2)

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Sharon has at most $25 to spend on her sister's birthday gift. She already bought a knitting machine for her, which cost $14.99.
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Step-by-step explanation:

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The length of a rectangle is three times its width of the perimeter of the rectangle is 40 yd find its length and width
schepotkina [342]

Answer:

Step-by-step explanation:

L= 3W

Perimeter = 2(l+w) = 40

 

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3 0
3 years ago
How would I do this? What would it be?
Igoryamba

Answer: x=80

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Knowing this, you can write the following equation:

(x+8)+(2x+12)+(x+20)=360

Then, you must solve for "x" in order to find its value. To do it, you can follow these steps:

1. You need to add the like terms:

(x+8)+(2x+12)+(x+20)=360\\\\4x+40=360

2. Now, subtract 40 from both sides of the equation:

4x+40-(40)=360-(40)\\\\4x=320

3. Finally, you must divide both sides of the equation by 4. Then:

\frac{4x}{4}=\frac{320}{4}\\\\x=80

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3 years ago
Which is true about the polynomial –8m3 + 11m?
Mumz [18]

Answer:

b) It is a binomial with a degree of 3.

Step-by-step explanation:

We need to find about which is true about the polynomial –8m3 + 11m from the given choices.

There are two terms so it is binomial.

Highest exponent on variable m is 3 so degree is 3.

Correct matching choice is "It is a binomial with a degree of 3."

Hence final answer is choice "b) It is a binomial with a degree of 3."


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3 years ago
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