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Serjik [45]
3 years ago
10

What is the GCF of the expression 7xyz - 21xyz + 49yz + 14yz2?

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0

Answer:

7yz

Step-by-step explanation:

You can take 7yz common from all the terms in the given expression

Answered by GAUTHMATH

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Complete the synthetic division problem below.
leva [86]

Answer:

B

Step-by-step explanation:

This was originally a third degree polynomial:

2x^3+4x^2-4x+6, to be exact.

When you divide by -3, you are basically trying to determine if x + 3 is a zero of that third degree polynomial.  The quotient is always one degree lesser than the polynomial you started with, and if there is no remainder, then x + 3 is a zero of the polynomial and you could go on to factor the second degree polynoial completely to get all 3 solutions.  To perform the synthetic division, you always first bring down the number in the first position, in our case a 2.  Then multiply that 2 by -3 to get -6.

-3|  2   4   -4   6

          -6

    2    -2

So far this is what we have done.  Now we multiply the -3 by the -2 and put that up under the -4 and add:

-3|  2   4   -4   6

          -6   6

    2    -2   2

Now we multiply the -3 by the 2 to get -6 and put that up under the 6 and add:

-3|   2   4   -4   6

           -6    6  -6

      2    -2   2   0

That last row gives us the depressed polynomial, which as stated earlier here, is one degree less than what you started with:

2x^2-2x+2

8 0
3 years ago
Read 2 more answers
Subtract: (2x2 − 7x + 5) − (−6x2 − 4x − 2)
Juli2301 [7.4K]
2x^2 - 7x + 5 - (-6x^2 - 4x - 2) =
2x^2 - 7x + 5 + 6x^2 + 4x + 2 =
8x^2 - 3x + 7 <==
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3 years ago
Sandy makes 15.5 gallons of lemonade. She must refill the container after filling 100 drink cups. How much lemonade was in each
faltersainse [42]
100 divided by 15.5 = 0.155
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4 years ago
A washer and a dryer cost $917 combined. The washer costs $67 more than the dryer. What is the cost of the dryer?
mart [117]
917 - 67 = 850 (subtract the difference)
850 / 2 = 425 (divide the cost of the washer/dryer)
425 + 67 = 492 (add the difference)
The dryer costs $492.
4 0
3 years ago
Need to know the equivalent ratio for 24:20=6:x
evablogger [386]
24:20=6:x\\\\\frac{24}{20}=\frac{6}{x}\ \ \ \ \ |cross\ multiply\\\\24x=20\times6\\\\24x=120\ \ \ \ \ |divide\ both\ sides\ by\ 24\\\\\boxed{x=5}

4 0
3 years ago
Read 2 more answers
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