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3 years ago

Compare 2.95 to 2.949

Mathematics

1 answer:

Anarel [89]3 years ago

4 0

Answer:

2.95 is bigger

Step-by-step explanation:

Always remember that each place after the integer in a decimal spot ends are all 0's.

This helps when we are comparing decimals.

In that case we really have:

2.9500 and 2.9490

Since 9500 is bigger than 9490, we can see that the one's digits are the same.

Since they are, 2.95 is the bigger number.

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Step-by-step explanation:

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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 $x^3-2x^2-x+2$

Leading coefficient is 1

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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3 years ago