Question

hello please solve this ​

Answer 1

Answer:

a)0

Step-by-step explanation:

p(x)= x³-3x²a+2a²x+b

g(x)= x-a

x-a=0

x= a

p(a)= a³-3(a)²a+2a²(a)+b=0

a³-3a³+2a³+b=0

b= 0

hope this helps

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Answer 2

Answer:

b=0

Step-by-step explanation:

p(x)= x³-3x²a+2a²x+b

g(x)= x-a

Given that g(x) is a factor of p(x)

By remainder theorem:

g(x)=0

x-a=0

x= a

p(x)= x³-3x²a+2a²x+b

p(a)= a³-3(a)²a+2a²(a)+b=0

a³-3a³+2a³+b=0

b= 0 is your answer.

What is remainder theorem?

The remainder theorem states the following: If you divide a polynomial f(x) by (x - h), then the remainder is f(h). The theorem states that our remainder equals f(h). Therefore, we do not need to use long division, but just need to evaluate the polynomial when x = h to find the remainder.