Question

The degree of polynomial a⁴- 5a +6​

Answer 1

$\huge\bf\purple{Answer}$

The degree of the polynomial is 4 .

Answer 2

Answer:

to solve: f(x) = x⁴ + a x³ + b x² + c x + d = 0 --- (1)

one way is to check f(x = -1), f(x = -2), f (x = -3) or f(0), or f(x=1) or f(x=2) etc if that is zero. Then we have a factor like (x- k), if f (x = k) = 0.

Then we can write f(x) = (x - k) [ x³ + (a+k) x² + (b+ak+k²) x - d / k ]

Now, the cubic equation could be again checked if, you could find some factors. Or, one could try the way a cubic equation is solved or reduced into a quadratic equation. There are standard formulas for solving cubic equations.

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We could try other means of reducing the quartic equation into a cubic equation and then solve that ..

f (x) = x⁴ + a x³ + b x² + c x + d = 0