Question

Find the zeros of the following quadratic polynomial and verify the relationship between the zeros of their coefficient.

1. 2x { }^{2} + 4x

​

Answer 1

Answer:

Let f(x)=x

2

−4x−5

The zero of the polynomial is given by f(x)=0

=>x

2

−4x−5=0

=>x

2

−5x+x−5=0

=>x(x−5)+1(x−5)=0

=>(x−5)(x+1)=0

Thus,

x−5=0 and x+1=0

=>x=5 and =>x=−1

Thus, zeros of the polynomial are 5,−1

Comparing f(x) with standard form of quadratic polynomial ax

2

+bx+c

Here, a=1, b=−4, c=5

Sum of the zeros =5+(−1)

=4

=

a

−b

=

1

−(−4)

Product of the zeros=(5)(−1)

=−5

=

a

c

=

1

−5

Answer 2

Answer:

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Step-by-step explanation:

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