0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Use factor theorem to verify that the following polynomial q(x) is a factor of p(x)
p(x)=x5x44x22x+4, q(x)=x2

  1. True
  2. False

A
True
B
False
Solution
Verified by Toppr


The zero of q(x)=x2 is 2 and p(x)=x5x44x22x+4.

Was this answer helpful?
2
Similar Questions
Q1
Use factor theorem to verify that the following polynomial q(x) is a factor of p(x)
p(x)=x5x44x22x+4, q(x)=x2

View Solution
Q2
In the following case, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not.
p(x)=2x4+x3+4x2x7 g(x)=x+2
View Solution
Q3
By using factor theorem in the following examples, determine whether q ( x ) is a factor p ( x ) or not.

(i) px = x3 - x2 - x - 1 , qx = x - 1

(ii) px = 2x3 - x2 -45 , qx = x - 3
View Solution
Q4

Now for each pair of polynomials p(x) and q(x) given below, find p(x) + q(x) and p(x) − q(x). Also compute p(1) + q(1) and p(1) − q(1) for each.

(i)

(ii)

(iii)

(iv)

(v)


View Solution
Q5
Use remainder theorem to find remainder when p(x) is divided by q(x) in the following questions:p(x)=x4+x3+x25x+1,q(x)=x+1
View Solution