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3 years ago

Select the correct answer. What is the factored form of this expression? 216p^6+1

Mathematics

2 answers:

-BARSIC- [3]3 years ago

6 0

Answer:

adad

Step-by-step explanation:

awddf

g100num [7]3 years ago

5 0

Answer:

Option A

Step-by-step explanation:

$216p {}^{6} + 1$

216p⁶ - 36p⁴ + 6p² + 36p⁴ - 6p² + 1

6(36p⁶ - 6p⁴ + p²) + 1(36p⁴ - 6p² + 1)

6(36p⁴ - 6p² + 1) × p² + 1(36p⁴ - 6p² + 1/

(6p² - 1)(36p⁴ + 6p² + 1)

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Simplify f+g / f-g when f(x)= x-4 / x+9 and g(x)= x-9 / x+4

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Read 2 more answers

Algebra 2 question need help.

MrMuchimi

Answer: Choice C

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

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Explanation:

When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so

f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5

f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5

f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.

The reason why we replace every x with -x is because of the examples mentioned below

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Examples:

The point (1,2) moves to (-1,2) after a y axis reflection

Similarly, (-5,7) moves to (5,7) after a y axis reflection.

As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.

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