Question

Find the zeroes ofthe polynomials X+4x3 X- 15 by factorization
method and verify therelations between the zeroes and the coefficients of
the polynomials​

Answer 1

Answer:

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Step-by-step explanation:

sorry

Answer 2

Answer:

Let f(x)=3x

2

+4x−4

Comparing it with the standard quadratic polynomial ax

2

+bx+c, we get

a=3, b=4, c=−4

Now, 3x

2

+4x−4

=3x

2

+6x−2x−4

=3x(x+2)−2(x+2)

=(x+2)(3x−2)

The zeros of f(x) are given by f(x)=0

=>(x+2)(3x−2)=0

=>x+2=0,3x−2=0

=>x=−2,x=

3

2

Hence the zeros of the given quadratic polynomial are −2,

3

2

Verification of the relationship between the roots and the coefficients

Sum of the roots =−2+

3

2

=

3

−6+2

=

3

−4

=

coefficientofx

2

−coefficientofx

Product of the roots =−2×(

3

2

)

=

3

−4

=

coefficientofx

2

constantterm

Hope it will help you.

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