Relationship between zeros and coefficients of a quadratic polynomial

In mathematics, a polynomial is an expression consisting of variables and coefficients
which only employs the operations of addition, subtraction, multiplication, and non-negative integer exponents.
A polynomial is an expression that can be built from constants and symbols called indeterminates or variables
by means of addition, multiplication and exponentiation to a non-negative power.
Two such expressions that may be transformed, one to the other,
by applying the usual properties of commutativity, associativity and distributivity of addition
and multiplication are considered as defining the same polynomial,
Here is a demo of online video lecture.Get Textbook solutions for maths from Flip Academy.

[technicalgaming]

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[shalusharmashalusharma]

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[rajitabhverma]

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[Truelove-kcgi]

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[harshraj]

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[shugaboo]

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[shivrajsinghnirvan]

Same method in my book but i am not able to understand why that constant ( k) is taken their....?

[dreamchannel]

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[messi-wibl]

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