Question

if alpha and beta are zeroes of polynomial xsq-4x+3find value of alpha power 4 nd beta sq+alpha sq beta power4

Answer 1

Answer:

Step-by-step explanation:

Answer is 94

Answer 2

GOOD NIGHT!!

For a general Quadratic polynomial say

F(x) = ax² + bx + c

Alfa + Beta = -b/a And

Alfa × Beta = c/a

Where Alfa and Beta are two zeros of F(x)

Given Quadratic polynomial is

P(x) = x² - 4x + 3

Alfa + Beta = 4

And

Alfa × Beta = 3

Find Alfa⁴ × Beta² + Beta⁴ × Alfa² = z let

z = (Alfa × Beta)² { Alfa² + Beta² }

z = (Alfa × Beta)² { (Alfa + Beta)² - 2 Alfa × Beta)}

z = (3)² { (4)² - 2 ( 3 ) }

z = 9 { 16 - 6 }

z = 9 { 10 }

z = 90

So,

Alfa⁴×Beta² + Beta²×Alfa⁴ = 90