Question

fine sum of zeros and product of zeros for the cubic polynomial
$p(x) = 5 {x}^{3} - 10 {x}^{2} + 7x + 15.$
caution : NO SPAMMERS ​

Answer 1

Solution :

Given,

p(x) = 5x³ - 10x² + 7x + 15

To find the sum and product of zeros of above cubic polynomial

Note

• Sum of Roots : - x² coefficient/x³ coefficient

• Product of Roots : - constant term /x³ coefficient

• Product of successive sum of roots : x coefficient / x³ coefficient

Now,

Sum of Roots

$\sf \: s = - ( - \dfrac{ 10}{5} ) \\ \\ \longmapsto \: \boxed{\boxed{\sf \: s = 2}}$

Product of Roots

$\sf \: p = - \dfrac{15}{5} \\ \\ \longmapsto \: \boxed{\boxed{ \sf \: p = - 3}}$

The sum of roots and the product of roots of the above p(x) would be 2 and - 3 respectively

Answer 2

Answer:

sum of zeroes

Step-by-step explanation:

-b/a =alpha +beta+gamma

-(-10)/5=2

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