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telo118 [61]
4 years ago
15

One root of f(x)=x^3-4x^2-20x+48 is x = 6. What are all the factors of the function? Use the Remainder Theorem.

Mathematics
2 answers:
Shalnov [3]4 years ago
8 0

the correct answer is C

kkurt [141]4 years ago
4 0
If one root is x = 6, then this polynomial is divisible by: x - 6.
( x³ - 4 x² - 20 x + 48 ) : ( x - 6 ) = x² + 2 x - 8
- x³ + 6x²
---------------
         2 x² - 20 x
        -2x² + 12 x
       -----------------
                 - 8 x + 48
                   8 x - 48
               --------------------
After that : x²+ 2 x - 8 = x² + 4 x - 2 x - 8 = x * ( x + 4 ) - 2 * ( x + 4 ) =
= ( x + 4 ) ( x - 2 )
Answer: C )  ( x - 2 ) ( x + 4 ) ( x - 6 )
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As the sum of two complementary angles = a + b = 90 degree -------(1)

Difference of two complementary angles = a – b

According to question;

The difference of two complementary angles exceed the sume (90) by 86.

So

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adding equation (1) and (2);

2a = 90 + 4 = 94

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putting a = 47 in equation (1);

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Step-by-step explanation:

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6 0
3 years ago
My friend and I went to buy earrings. The shopkeeper said each pair of earrings cost Rs. 12, but offered 12 pairs for Rs. 100. R
astraxan [27]

Answer:

c)30%

Step-by-step explanation:

Step one:

given data

The shopkeeper said each pair of earrings cost Rs. 12

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Required

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I hope this helps! :)
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Read 2 more answers
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