- A
- B
- C
- D
Step-by-Step Solution
A zero a gives the factor , so the polynomial is . Expand: , then . Flipping every sign of the zeros would give instead.
Answer: C)
A cubic polynomial has zeros 1, −2 and 3, and its leading coefficient is 1. Which polynomial is it?
Class 9PolynomialsPolynomials
Key idea: Finding zeros (roots)
**Linear**: ax + → . One zero.
Example: → .
**Quadratic**: solve by factorisation, or quadratic formula (Class 10).
Example: . Factor: → or . Two zeros.
**General principle**: a polynomial of degree n has AT MOST n real zeros.
Example: → .
**Quadratic**: solve by factorisation, or quadratic formula (Class 10).
Example: . Factor: → or . Two zeros.
**General principle**: a polynomial of degree n has AT MOST n real zeros.
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