Question

If one zero of a polynomial \(p(x)\) is \(-1\), then a factor of \(p(x)\) will be

• A. \(x-1\)
• B. \(x+1\)
• C. \(\dfrac{1}{x+1}\)
• D. \(\dfrac{1}{x-1}\)

Hint:

“Zero \(a\) \(\Rightarrow\) factor \((x-a)\)” is the essence of the Factor Theorem.

Answer 1

The Correct Option is B

Step 1: Factor theorem.
If \(x=a\) is a zero, then \((x-a)\) is a factor.
Step 2: Apply to \(a=-1\).
Factor is \((x-(-1))=(x+1)\).