Question

find the proudct of series of the polynomial ax^2 - 6x - 6 is 4. find the value of a. find the sum of series of the polynomial.​

Answer 1

Answer:

$a \: = \frac{3}{2}$

$sum \: of \: series \: is \: 4$

Step-by-step explanation:

$product \: of \: series \: = \: \frac{constant \: term}{coefficient \: of \: {x}^{2} }$

$product \: = \frac{6}{a}$

but it's given that product is 4 .

$\frac{6}{a} = 4$

$a = \frac{6}{4}$

$a = \frac{3}{2}$

We also know that ,

$sum \: of \: series \: = \frac{ - (coefficient \: of \: x)}{coefficient \: of \: x \: }$

$sum \: = \frac{ - ( - 6)}{ \frac{3}{2} }$

$sum \: = \frac{6}{ \frac{3}{2} }$

$sum \: = \: \frac{6 \times 2}{3}$

$sum \: = 4$

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