Question

Given x
2 − 7x + 1 = 0. Find T if x^6 − T x^3 + 1 = 0.

Answer 1

Answer:

yes

Step-by-step explanation:

Correct option is D)

Here, f(x)=6x

2

−3−7x

=6x

2

−7x−3

=6x

2

−9x+2x−3

=3x(2x−3)+1(2x−3)

=(2x−3)(3x+1).

Then, f(x)=0⟹2x−3=0 and 3x+1=0.

Therefore, 2x=3 and 3x−−1.

That is, x=

2

3

, x=

3

−1

.

The zeros of the polynomials are

2

3

,

3

−1

.

Therefore, option D is correct.