Question

If p(a)=0, then (x-a) is a ____ of p(x).
a)divisor
b)remainder
c)factor
d)reminder ​

Answer 1

Answer:

Step-by-step explanation:

p(x)=(x-a)q(x)+r(x)

where q(x) is the quotient when f(x) is divided by x-a and r(x)  

The Remainder Theorem says that we can restate the polynomial in terms of the divisor, and then evaluate the polynomial  

x=a

hence putting it we get

p(a)=0*q(a)+r(a)

p(a)=r(a)

hence  the remainder is p(a)

Answer 2

Step-by-step explanation:

p(x)=(x-a)q(x)+r(x)

where q(x) is the quotient when f(x) is divided by x-a and r(x)

The Remainder Theorem says that we can restate the polynomial in terms of the divisor, and then evaluate the polynomial

x=a

hence putting it we get

p(a)=0*q(a)+r(a)

p(a)=r(a)

hence the remainder is p(a)