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2 years ago

The polynomials P(x)=x^3−x−2 and Q(x)=x^2+2x+1 are multiplied and the result is completely simplified.

Mathematics

1 answer:

GarryVolchara [31]2 years ago

6 0

Answer:

C. 2x^4; E. -5x

Step-by-step explanation:

P(x) = x^3 − x − 2 and Q(x) = x^2 + 2x + 1

P(x) * Q(x) = (x^3 − x − 2)(x^2 + 2x + 1) =

= x^5 + 2x^4 + x^3 - x^3 - 2x^2 - x - 2x^2 - 4x - 2

= x^5 + 2x^4 - 4x^2 - 5x - 2

Answer: C. 2x^4; E. -5x

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Find the Range and Domain of the Binary relations

sukhopar [10]

Answer:

A = {3,5,6}

B = {1,3}

A x B = {(3,1),(3,3),(5,1),(5,3),(6,1),(6,3)}

Domain of A x B = (The x figures in ascending order)

=> {3,5,6} (Figures repeating more than once must be written only 1 time)

Range of A x B = (The y figures in ascending order)

=> {1,3}

B x A = {(1,3),(3,3),(1,5),(3,5),(1,6),(3,6)}

Domain of B x A = {1,3}

Range of A x B = {3,5,6}

8 0

3 years ago

If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =

vodka [1.7K]

Answer:

ab = 2

Step-by-step explanation:

Given equations

ax² +ax + 2 = 0

x² + x + b = 0

root of both the equation

x= 1

then we can plug in x = 1 in both the equation

ax² +ax + 2 = 0 x² + x + b = 0

a*1² +a*1 + 2 = 0 1² + 1 + b = 0

a +a + 2 = 0 1 + 1 + b = 0

2a + 2 = 0 2 + b = 0

2a = - 2 b = -2

a = -2/2 = -1

Thus,

a = -1

b = -2

a*b = -1*-2 = 2

ab = 2

6 0

3 years ago

Tank a has a capacity of 9.5 galloons 6 1/3 gallons of the tanks water are poured out how many gallons of water are left in the

Alisiya [41]

$= 9 \frac{1}{2} - 6 \frac{1}{3} \\ = 9 \frac{3}{6} - 6 \frac{2}{6}$
$= 3 \frac{3 - 2}{6} \\ = 3 \frac{1}{6}$

3 1/6 gallons of water are left in the tank.

3 0

3 years ago

Read 2 more answers

Help please!!!!!!!!!!!!!

fiasKO [112]

Answer:

<QPR = 98.5 degrees

Step-by-step explanation:

a line = 180 degrees

7x + 4 + 9x - 40 = 180

16x - 36 = 180

16x = 216

x = 13.5

<QPR = 7x + 4 = 7(13.5) + 4 = 98.5

5 0

2 years ago

What is A decreased by 20% and then increased by 20% of that? Please show your work.

Eduardwww [97]

Answer:

A - (20% of A) = 80% of A + (20% of (80% of A) = 96% of A

So if A is 100:

100 - (.2 * 100) = 80 + (.2 * 80) = 96

Step-by-step explanation:

3 0

3 years ago