Question

If 1 is a zero of the polynomial p(x), then which of the following is correct?

• A. p(1) = x
• B. p(1) = 0
• C. p(1) = 1
• D. p(2) - p(1) = p(2)

Answer 1

Answer: (B), (D)

The correct options are
B

p(1) = 0

D

p(2) - p(1) = p(2)

$\text{If k is a zero of the polynomial p(x),}\text{then,}p\left(k\right)=0.$

$\text{Here, 1 is a zero of the polynomial}\text{p(x).}$

$\Rightarrow p\left(1\right)=0$

$\text{Also,}p\left(2\right)-p\left(1\right)=p\left(2\right)-0=p\left(2\right)$