Question

if ∝ and β are zeroes of quadratic polynomial 3x²-7x-6.
Find a quadratic polynomial whose zeroes are ∝^4+β^4.
please answer only ... do not spam ...
OR JUST TELL ME HOW TO FACTORISE ∝^4+β^4

Answer 1

Answer:

Just factorise the polynomial. As it is a quadratic polynomials so obviously there will be only two zeroes :

3 x square - 7x -6

= 3x square +2x -9x-6

=x(3x+2) +3(3x+2)

alpha = -2/3

beta = -3

Now find your answer :

a4 +b4= (-2/3)4 +(-3)4

= -8/27-27

= (-8 -694)/27

= -702/27

Step-by-step explanation:

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