Question

x-a is a factor of p(x)= ax^2+bx+c. Which of the following is true?​

A.
p(a)=2


B.
p(a) = 0


C.
p(2)=1


D.
p(b)=0

Answer 1

p(a)=0
Answer. B.p(a) = 0

See if g(x) = x- a
Then g(x) is a factor of p(x)
The zero of polynomial = a
Therefore p(a)= 0
I hope this helps

◀POLYNOMIAL▶
@sid000 #!!

Answer 2

HELLO DEAR,



If P(x) be a polynomial and it is divided by another polynomial (x - a), then the quotient is represented by Q(x) and the remainder is given by R(x). Then remainder theorem says that -

P(x) = (x - a) Q(x) + R(x)

Factor theorem is a special case of remainder
theorem.

It states that if a polynomial P(x) is evenly
divided by another polynomial (x - a),

then it leaves no remainder; i.e. R(x) = 0 and

hence (x - a) is said to be the factor of P(x).

According to factor theorem -

P(x) = (x - a) Q(x)

In other words, (x - a) is said to be the factor of polynomial P(x); if P(a) = 0.


I HOPE ITS HELP YOU DEAR,
THANKS