MCQ
The number of polynomials having -2 and 5 as zeroes is
- A1
- B2
- C3
- ✓infinitely many
✓
Answer
Correct option: D.
infinitely many
(D) infinitely many
Quadratic polynomial having -2 and 5 as its zeroes are given by $f(x)=k\left\{x^2-x(-2+5)+(-2) \times 5\right\}$ or $f(x)=k\left(x^2-3 x-10\right)$, where $k$ is any non-zero real number. So, there are infinitely many polynomials.
Quadratic polynomial having -2 and 5 as its zeroes are given by $f(x)=k\left\{x^2-x(-2+5)+(-2) \times 5\right\}$ or $f(x)=k\left(x^2-3 x-10\right)$, where $k$ is any non-zero real number. So, there are infinitely many polynomials.
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