Match each polynomial in standard form to its equivalent factored form.
1 answer:
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
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2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.
= (2x)(x³ +2³)
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3. a=x, b=2
= x³ +2³
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