Question

(ii)
If x + 2 is a factor of p(x), then k=
(a) 0
(b) 4
(c) 8
(d) 12​

Answer 1

$\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}$

Step-by-step explanation:

According to factor theorem, when f(x) is divided by (x−1),f(1)=0

f(x)=x

2

+2x−k

⟹f(1)=1

2

+2(1)−k=0

⟹3−k=0

⟹k=3

Answer 2

Answer:

Correct option is

B

5,4

Factors of x

2

−3x+2 are (x−1) and (x−2).

Let f(x)=x

4

−px

2

+q

Since, f(x) is divisible by (x−1) and (x−2)

∴f(1)=0 and f(2)=0

⇒f(1)=1

4

−p(1)

2

+q=0

and f(2)=2

4

−p(2)

2

+q=0

1−p+q=0....(i)

and 16−4p+q=0....(ii)

(i)−(ii), we get

−15+3p=0⇒p=5

putting value of p in eq. (i), we get q=4

Thus, we get

p=5 and q=4.