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svet-max [94.6K]
3 years ago
7

Compare. Use >, <, or = to complete the statement. | –10 | | 11 | A. > B. = C. <

Mathematics
2 answers:
mash [69]3 years ago
6 0
Answer: |-10| < |11|

So choice C. is right.

hope this helps!
Elenna [48]3 years ago
4 0

| –10 | < | 11 |

the answer is c.<

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Find the value of c so that (x-5) is a factor of the polynomial p(x)
liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

p(x) = x^3 + 2x^2 + cx + 10

The other factor is going to be some quadratic.  We can say a few things about its coefficients but let's start by saying in general it's

q(x)= ax^2 + bx + k

p(x) = (x-5)q(x)

x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k

Equating respective coefficients,

a=1

b-5a = 2

k - 5b = c

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so we get

b = 2 + 5 = 7

k = 10/-5 = -2

c = k - 5b = 2 - 5(7)= -37

Answer: -37

Check:

(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark




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2 years ago
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Answer:

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Check by dividing the third term by the second term

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