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3 years ago

Without actual division, prove that 2x^4 - 5x^3 + 2x^2 - x + 2 is divisible by x^2 + 3x + 2.

Mathematics

2 answers:

adell [148]3 years ago

7 0

Answer:

Thinking Process

(i) Firstly, determine the factors of quadratic polynomial by splitting middle term.

(ii) The two different values of zeroes put in bioquadratic polynomial.

(iii) In both the case if remainder is zero, then bioquadratic polynomial is divisible by

quadratic polynomial.

Art [367]3 years ago

7 0

Answer:

2x⁴ - 5x³ + 2x² - x + 2=

2x²(x²-3x+2) +x³-2x² -x +2=

2x²(x²-3x+2) + x(x²-3x+2) +x² -3x +2=

(x²-3x+2)(2x²+x+1)

since x²-3x+2 is the factor of the given polynomial, we can state the polynomial is divisible by x²-3x+2

-------------

note: x²+3x+2 is not the factor of the given polynomial

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Murrr4er [49]

Answer:

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Step-by-step explanation:

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4 years ago

Jeannie is an experienced business traveler, often traveling back and forth from San Francisco to the East Coast several times p

lesya692 [45]

Answer:

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Jeannie should leave her office 55 minutes early.

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Let X = time it requires Jeannie to catch her plane.

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Compute the probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour as follows:

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The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Now, it is provided that Jeannie has 96% chance of catching her flight if she reaches under x minutes.

That is, P (X < x) = 0.96.

Compute the value of x as follows:

$P(X$

**Use the z-table to compute the value of z.

The value of z is 1.751.

Compute the value of x as follows:

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Thus, Jeannie should leave her office 55 minutes early.

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3 years ago

(TIMED PLEASE HELP!!) The area of the two triangles is given by the functions: Area of Triangle A: x2 + x Area of Triangle B: x2

Blizzard [7]

Answer:

Step-by-step explanation:

Here, we are given the values of the areas of the two triangles and we want to find the sum of these areas

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3 years ago