question #15

Question

Use synthetic division to decide if the given number is a zero of the polynomial function following the number. 

-2, P(m)=2m^4+3m^3-3m^2+3m+10

Is -2 a zero of the polynomial function?

_ No 

_ Yes 

 

help is greatly appreciated, thank you!

Answer 1

P(m)=2m⁴+3m³-3m²+3m+10

then

p(-2)=2.(-2)⁴ +3.(-2)³-3.(-2)²+3.(-2)+10

=2.16+3.(-8)-3.4-6+10

=32-24-12-6+10

=42-42

=0

answer is: 0