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3 years ago

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

Mathematics

1 answer:

GREYUIT [131]3 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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Hello!

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