Question

if the zeroes of the quadratic equation are 11 and 2 ,what is expression for quadratic
a. x2-13x+22

b. x2-11x+22

c. x2-13x-22

d. x2+13x-22



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Answer 1

Answer:

see attachment

Step-by-step explanation:

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Answer 2

Answer:

$\alpha = 11 \\ \beta = 2 \\ \\ sum \: of \: roots \: = \alpha + \beta \\ \alpha + \beta = \frac{ - b}{a } \\ \\ \frac{11 + 2}{1} = \frac{ - b}{a} \\ \\ \frac{13}{1} = \frac{ - b}{a} \\ \\ product \: of \: roots = \alpha \times \beta \\ \alpha \times \beta = \frac{c}{a} \\ \\ \frac{ \alpha \times \beta }{1} = \frac{c}{1} \\ \\ \frac{11 \times 2}{1} = \frac{c}{1} \\ \\ \frac{22}{1} = \frac{c}{1} \\ \\ a = 1 \: \: \: b = - 13 \: and \: c = 22 \\ \\ equation \: formed \\ {x}^{2} - 13x + 22$