A quadratic polynomial, whose zeroes are –3 and 4, is ______.

Question

KollegeApply · Accepted Answer

A quadratic polynomial, whose zeroes are –3 and 4, is underlinebb(x^$\frac{2}{2}$ - x/2 - 6). Explanation: Sum of zeroes, $\alpha$ + $\beta$ = –3 + 4 = 1 Product of zeroes, $\alpha$$\beta$ = –3 $\times$ 4 = –12 Therefore, the quadratic polynomial becomes, x2 – (sum of zeroes)x + (product of zeroes) = x2 – ($\alpha$ + $\beta$)x + ($\alpha$$\beta$) = x2 – (1)x + (–12) = x2 – x – 12 Divide by 2, we get = x^$\frac{2}{2}$ - x/2 -$\frac{12}{2}$ = x^$\frac{2}{2}$ - x/2 - 6

AChoose Your Answer