3 years ago

Factor the polynomial: 2x3 + 16 Question 15 options:

Mathematics

1 answer:

SOVA2 [1]3 years ago

4 0

Answer:

Step-by-step explanation:

Given

2x³ + 16 ← factor out 2 from each term

= 2(x³ + 8) ← x³ + 8 is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²) , then

x³ + 8

= x³ + 2³

= (x + 2)(x² - 2x + 2²)

= (x + 2)(x² - 2x + 4)

Then

2x³ + 16 = 2(x + 2)(x² - 2x + 4) ← in factored form → B

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