Question

the 2 zeros of a quadratic polynomial are -4 and -6. find the sum and product of the zeroes. what is the value of coefficient b?

Answer 1

$Let \: \alpha \:and \:\beta \: are\: two \: zeroes$

$of \: a \: Quadratic \: polynomial$

$\alpha = -4 , \:and \:\beta = -6 \: (given)$

$i) Sum \:of \:the \: zeroes$

$= \alpha + \beta$

$= - 4 + (-6)$

$= - 4 - 6$

$= - 10$

$ii) product \:of \:the \: zeroes$

$= \alpha \beta$

$= (- 4 )\times (-6)$

$= 24$

$iii) The \: Quadratic \: polynomial \:is$

$k[x^{2} - (\alpha + \beta)x + \alpha \beta ] ,$

$where \:k \:is \:a \: constant .$

$= k[x^{2} - (-10)x + 24$

$= k( x^{2} + 10x + 24$

$If \: k = 1 \:then \: x^{2} + 10x + 24$

/* Compare above polynomial with ax^{2}+bx+c , we get */

$a = 1 , b = 10 \:and \:c = 24$

Therefore.,

$\red{ Value \:of \: b } \green { = 10 }$

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Answer 2

Answer:

Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. ... Familiar examples of oscillation include a swinging pendulum and alternating current.

Step-by-step explanation:

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