Question

if alpha and beta are the zeros of quadratic polynomial 4 x square - 5 x minus 1 find the value of Alpha square beta + alpha beta square

Answer 1

Answer:

Step-by-step explanation:

Hey!

Given polynomial :- 4x²-5x-1

and alpha beta are it's zeros !

• Sum of Zeros =

= \frac{ - coefficient \: of \: x}{coefficient \: of \: {x}^{2} }

\alpha + \beta = \frac{5}{4}

• Product of Zeros =

\frac{constant \: term}{coeff. \: \: of \: {x}^{2} }

\alpha \beta = \frac{ - 1}{4}

# To find

{ \alpha }^{2} \beta + \alpha { \beta }^{2}

\alpha \beta ( \alpha + \beta )

\frac{ - 1}{4} \times \frac{5}{4} = \frac{ - 5}{16}

Hence , value is -5/16

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Answer 2

Above given is the explanation for your question :))

hope it helps!!