alleryA quadratic polynomial has sum of zeroes $-3$ and product of zeroes $2$. Which of the following is one such polynomial?
A$x^2-3x+2$
B$x^2+3x+2$
C$x^2+2x-3$
D$x^2-2x+3$
Answer & Solution
Correct answer: B. $x^2+3x+2$
For a monic quadratic with zeroes $\alpha,\beta$, the polynomial is $x^2-(\alpha+\beta)x+\alpha\beta$.
Here, $\alpha+\beta=-3$ and $\alpha\beta=2$, so the polynomial is $x^2-(-3)x+2=x^2+3x+2$.
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