Question

write an equation for the cubic polynomial p(x) with leading coefficient of -3 a linear coefficient of 2 , p(0)=9 p(3)=6.

Answer 1

Answer:

Step-by-step explanation:

let p(x)=ax³+bx²+cx+d

a=-3

c=2

p(0)=9

d=9

p(3)=-3(3)³+b(3)²+2(3)+9=6

-81+9b+6+9=6

9b=6+81-6-9

9b=72

b=72/9=8

so p(x)=-3x³+8x²+2x+9