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3 years ago

15

you are making necklaces for your friends. You have 72 blue beads and 42 red beads. Each friend will recieve a identical necklac

e, and all beads must be used

2 answers:

Leni [432]3 years ago

4 0

Answer: 6

Step-by-step explanation: Because, 6 is the highest number you can multiply both with, 6x12 = 72 and 6x7 = 42

Andrej [43]3 years ago

3 0

72 and 42 are both divisible by 6

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3 years ago

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3 years ago

Determine the leading coefficient of the polynomial p, which has exactly three roots: -1, 1 and 2, and for which p(3) = 24 is tr

LuckyWell [14K]

Answer:

The polynomial is $x^3-2x^2-x+2$

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Step-by-step explanation:

We need to determine the leading coefficient of polynomial p having roots

-1,1 and 2 and p(3)=24

Roots of polynomial are: -1,1,2

We can write them as:

x=-1, x=1, x=2

x+1=0, x-1=0, x-2=0

or:

(x+1)(x-1)(x-2)=0

Multiplying the terms to find the polynomial:

$(x+1)(x-1)(x-2)=0\\(x(x-1)+1(x-1))(x-2)=0\\(x^2-x+x-1)(x-2)=0\\(x^2-1)(x-2)=0\\x^2(x-2)-1(x-2)=0\\x^3-2x^2-x+2=0$

So, The polynomial is $x^3-2x^2-x+2$

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2 years ago