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natta225 [31]
3 years ago
15

Complete the proof of the polynomial identity. *help please draw a line from the correct answer to the correct blank*

Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

x^4 +2x^2y^2+y^4\\\\2x^4+2x^2y^2+2y^4\\2(x^4+x^2y^2+y^4)

Step-by-step explanation:

The proof of the polynomial identity shows that the left side equals the right side. To find what comes next, simplify the left side using order of operations (PEMDAS) by doing the exponent first, combing like terms and then simplifying.

(x^2+y^2)^2 simplifies to

x^4 +2x^2y^2+y^4\\\\2x^4+2x^2y^2+2y^4\\2(x^4+x^2y^2+y^4)


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(Make sure to set f(x) to zero)

So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 0=5x^2+5x-x-1

Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 0=5x(x+1)-1(x+1)

Now you can rewrite the equation as: 0=(5x-1)(x+1)

Now apply zero product property to the factors to solve for x:

5x-1=0\\5x=1\\x=\frac{1}{5}\\\\x+1=0\\x=-1

<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>

5 0
3 years ago
I literally have no clue what this unit is about so help
vaieri [72.5K]
The answer is D
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5 0
3 years ago
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Tony’s deposit earned $40.80 in simple interest over 3 years in an account with an interest rate of 1.7%. How much did Tony depo
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Answer:

3. Tony's deposit earned $40.80 in simple interest over 3 years in an account with an interest rate of 1.7%. How much did Tony deposit?

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2 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
erastova [34]

Answer:

1st ∡ = 15.5°

2nd ∡ = 77.25°

3rd ∡ = 87.25°

Step-by-step explanation:

1st ∡:  x

2nd ∡:  y

3rd ∡:  z

Equations we can create from data given in problem:

y + z = 5x

z = 5x + 10

We have enough expressions to create an equation:

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8 0
3 years ago
Can someone help me.​
salantis [7]

Answer:

see explanation

Step-by-step explanation:

substitute the values of x in the table into g(x)

Using the rule of exponents

a^{-m} = \frac{1}{a^{m} }

g(- 2) = 4^{-2} = \frac{1}{4^{2} } = \frac{1}{16}

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3 years ago
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