Question

alpha, beta are zeros of polynomial p (X)=2x² -7x+3 find value of Alpha cube beta cube
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Answer 1

Step-by-step explanation:

▶here the given polynomial is p (x) = 2x² - 7x + 3

find out the roots by splitting the middle term

→ 2x² - 7x + 3 = 0

→ 2x² - 6x - x + 3 = 0

→ 2x ( x - 3 ) - 1 ( x - 3 ) = 0

→ ( 2x - 1 ) ( x - 3 ) = 0

→ x = 1/ 2 OR x = 3

▶here the roots are α and β

therefor, α = 1/2 OR β = 3

α³ x β³ = ( 1/2 )³ x ( 3 )³

= ( 1 / 8 ) x ( 27 )

$\boxed{\textbf{\large{= 27 / 8}}}$