Question

c. P(x)=2x3+x2-15x-12, g(x)= x+2​

Answer 1

Answer:

⇒ p (x)=2x^3+x^2-15x-12 , g (x)=x+2

⇒put x= -2

⇒2 (-2)^3+(-2)^2-15 (-2)-12

⇒-16+4+30-12

⇒6

Answer 2

Step-by-step explanation:

P(x) = 2x³+x²-15x-12

g(x) = x+2

Divisibility test:-

if x+2 = 0 => x = -2

substituting the value of x in P(x)

=> P(-2) = 2(-2)³+(-2)²-15(-2)-12

= -16+4+30-12

= 34-28

= 6

[ ≠ 0 ]

conclusion:-

=> P(x) is not divisible by g(x)

=> g(x) is nat a factor of P(x)

=> P(x) is when divided by g(x) the remainder

is 6.

Hope this helps you