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Lina20 [59]
3 years ago
7

Compare the numbers using < > = 8,309,127_____8,409,127

Mathematics
2 answers:
maw [93]3 years ago
8 0
8,309,127 is less than (<) 8,409,127

3,000,003 is greater than (>) 223,646

Think of the greater than/less than signs as a crocodile mouth. The crocodile wants to eat the bigger number, so the "mouth" or opening of the sign should face the larger number.
Ipatiy [6.2K]3 years ago
6 0
1) 8,309,127 < 8,409,127
2) 3,000,003 > 223,646
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The binomial x-2 is a factor of the polynomial below. f(x)=x3+x2+nx+10 What is the value of n?
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<h3>Answer: n = -11</h3>

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Explanation:

Since x-2 is a factor of f(x), this means f(2) = 0.

More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

So if we plugged x = 2 into f(x), we'd get

f(x) = x^3+x^2+nx+10

f(2) = 2^3+2^2+n(2)+10

f(2) = 8+4+2n+10

f(2) = 2n+22

Set this equal to 0 and solve for n

2n+22 = 0

2n = -22

n = -22/2

n = -11 is the answer

Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10

Plug x = 2 into that updated f(x) function to find....

f(x) = x^3+x^2-11x+10

f(2) = 2^3+2^2-11(2)+10

f(2) = 8+4-22+10

f(2) = 0

Which confirms our answer.

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Step-by-step explanation:

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