Answer:
Step-by-step explanation:
Eliminate answer 4 immediately, because (4)(3) is not 7.
Look at answer 2: 7x + 3x = 10x, which does not match the middle term 12x in the original polynomial. Eliminate answer 2.
Look at answer 1: 1x + 21x = 22x, which does not match the middle term of the original polynomial. Eliminate answer 1.
All quadratics have solutions. Let's apply the quadratic formula to 3x^2 + 12x + 7: Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is
12²-4(3)(7), or 144 - 84, or 60. Being positive, this tells us that the given poly has two real, unequal roots:
-12 ± √60 -12 + 2√15 -12 - 2√15
x = ----------------- = ------------------- and x = --------------------
3 3 3
Normally, if c is a root, then x - c is a factor.
If we try this here, however, the resulting factors do not at all match any of your answer choices.
Don't be offended...but please ensure you have copied this problem down correctly.
First, pull out the GCM from the two terms: 3x^6(x^3-64)
Then factor the remains using the difference of cubes: 3x^6(x-4)(x^2+4x+16)
The total weight of the two pieces together is 6 pounds.
<h3>How much would the two pieces weigh together?</h3>
A piece of raw silk that is 100 yards long by 1.25 yards wide weights 38lb.
Then, a piece that is 12.5 yards long (and still 1.25 yards wide) will weight:
M = (12.5/100)*38lb = 4.75 lb
And a piece of habotai silk that is 100 yards long by 1.25 yards wide weights 12lb.
Then, a piece that is 12.5 yards long will weigh:
M' = (12.5/100)*12lb = 1.5 lb
If we add these two, we get a total weight of:
M + M' = 4.5lb + 1.5lb = 6lb
The total weight of the two pieces together is 6 pounds.
If you want to learn more about weight:
brainly.com/question/11408596
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