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2 years ago

Divide. (4x^4 - 4x^2 - x-3) = (2x^2 – 3)

Mathematics

1 answer:

vekshin12 years ago

5 0

Answer:

$\frac{4x^4 - 4x^2 - x - 3}{2x^2 - 3}$

Step-by-step explanation:

Step 1:

Simplify: $\frac{4x^4 - 4x^2 - x - 3}{2x^2 - 3}$

Checking for a perfect cube:

4x⁴ - 4x² - x - 3 is not a perfect cube.

Trying to factor by pulling out:

Factoring: 4x⁴ - 4x² - x - 3
Thoughtfully split the expression at hand into groups, each group having two terms:
Group 1: - x - 3
Group 2: 4x⁴ - 4x³
Pull out from each group separately:
Group 1: (x + 3) • (-1)
Group 2: (x² - 1) • (4x²)
Bad news!! Factoring by pulling out fails:
The groups have no common factor and can not be added up to form a multiplication

Final result:

$\frac{4x^4 - 4x^2 - x - 3}{2x^2 - 3}$

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3 years ago

Read 2 more answers

Evaluate the following expression: p/-3 + (-8)= -8

aalyn [17]

P/-3+(-8)=-8
p/-3-8=-8
Add 8 to each side
p/-3-8+8=-8+8
p/-3=0
Multiply both side by 3
p/-3(3)=0(3)
p=0
Check:
p/-3+(-8)=-8
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3 years ago

I need help.please

DedPeter [7]

Answer:

1. cos = adjacent / hypotenuse

tan = opposite / adjacent

sin = opposite / hypotenuse

2. cos = adjacent / hypotenuse

cos(G) = 429/821 = 0.5225 ≈ 0.523

tan = opposite / adjacent

tan(G) = 700/429 = 1.6317 ≈ 1.632

sin = opposite / hypotenuse

sin(G) = 700/821 = 0.8526 ≈ 0.853

3. Part A:

sin(G) = opp / hyp = 420/427 = 0.9836 ≈ 0.984

Part B:

tan(Z) = opp / adj = 77 / 420 = 0.1833 ≈ 0.183

Part C:

cos(Z) = adj / hyp = 420 / 427 = 0.9836 ≈ 0.984

Part D:

sin(M) = opp / hyp = 427 / 427 = 1

Part E:

The sine value of any right angle is 1. The opposite side to the right angle is the hypotenuse.

Explanation:

1. Use "SohCahToa" to remember the equations.

S = o/h C = a/h T = o/a

"o" for opposite; "h" for hypotenuse; "a" for adjacent

"S" is sine; "C" is cosine; "T" is tangent.

2. Use the formulas for sin, cos and tan. Substitute the numbers for each side into the equations.

Since the values depend on ∠G, ∠G determines which side is opposite or adjacent. The adjacent side touches ∠G but the opposite side does not. The hypotenuse is the longest side.

3. Use the sin, cos and tan formulas from question 1. Which side is called opposite or adjacent depends on which angle (G, Z or M).

5 0

3 years ago

Divide. (4x^4 - 4x^2 - x-3) = (2x^2 – 3)​

Divide. (4x^4 - 4x^2 - x-3) = (2x^2 – 3)