Question

obtain all the Zeros of 2x42x²7x²+3x+6
are factors of this polynomial,
x +3/2​

Answer 1

Answer:

Correct option is

D

Zeros are

3

5

,−

3

5

,−1 and -1.

f(x)=3x

4

+6x

2

−2x

2

−10x−5

Given,

3

5

and −

3

5

are the zeros of f(x).

∴

⎝

⎛

x−

3

5

⎠

⎞

(x+

3

5

) are the factors of f(x).

(x

2

−

3

5

) are the factor of f(x) or (3x

2

−5) are the factor of f(x).

So, 3x

4

+6x

3

−2x

2

−10x−5

=(3x

2

−5)(x

2

+2x+1)

=3(x

2

−

3

5

)(x+1)

2

=3

⎝

⎛

x−

3

5

⎠

⎞

⎝

⎛

x+

3

5

⎠

⎞

(x+1)

2

∴ Zeros are

3

5

,−

3

5

,−1 and −1.

Step-by-step explanation:

please follow