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2 years ago

Match each polynomial in standard form to its equivalent factored form.

Mathematics

1 answer:

GREYUIT [131]2 years ago

3 0

Answer:

8x^3+1 ⇒ (2x+1)(4x^2−2x+1)
2x^4+16x ⇒ 2x(x+2)(x^2−2x+4)
x^3+8 ⇒ (x+2)(x^2−2x+4)

Step-by-step explanation:

The factoring of the sum of cubes is ...

a³ +b³ = (a +b)(a² -ab +b²)

1. a=2x, b=1

= (2x)³ + 1³

2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.

= (2x)(x³ +2³)

3. a=x, b=2

= x³ +2³

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2 years ago

Hello, precalc, need help on finding csc

Ainat [17]

Recall the double angle identity for cosine:

$\cos(2x) = \cos^2(x) - \sin^2(x) = 1 - 2 \sin^2(x)$

It follows that

$\sin^2(x) = \dfrac{1 - \cos(2x)}2 \implies \sin(x) = \pm \sqrt{\dfrac{1-\cos(2x)}2} \implies \csc(x) = \pm \sqrt{\dfrac2{1-\cos(2x)}}$

Since 0° < 22° < 90°, we know that sin(22°) must be positive, so csc(22°) is also positive. Let x = 22°; then the closest answer would be C,

$\csc(22^\circ) = \sqrt{\dfrac2{1-\cos(44^\circ)}} = \sqrt{\dfrac2{1-\frac5{13}}} = \dfrac{\sqrt{13}}2$

but the problem is that none of these claims are true; cot(32°) ≠ 4/3, cos(44°) ≠ 5/13, and csc(22°) ≠ √13/2...

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2 years ago

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Phoenix [80]

Answer:

The answer is B) 1/25

Step-by-step explanation:

This is because given that f(x) = 5^x

Hence, f(-2) would be 5^-2, which is equal to (1/5^2) => 1/25

Because a^-b can be written as 1/a^b

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