Which is equivalent to this expression (z+6) (2z^2+3z+5)

a.) z^3+15z^2+23z+30

b.) 2z^3+67z+30

c.) 2z^3+15z^2+23z+30

d.) z^2 + 67z+30

Question

Danica Perez

24 October, 19:23

+5

Answers (1)

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Cassius Hinton · Answer 1

(z + 6) (2z^2 + 3z + 5) = z (2z^2 + 3z + 5) + 6 (2z^2 + 3z + 5) = 2z^3 + 3z^2 + 5z + 12z^2 + 18z + 30 = 2z^3 + 15z^2 + 23z + 30

Which is equivalent to this expression (z+6) (2z^2+3z+5)a.) z^3+15z^2+23z+30b.) 2z^3+67z+30c.) 2z^3+15z^2+23z+30d.) z^2 + 67z+30