Question

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Answer 1

ANSWER:

6

EXPLAINATION:

ABOVE PICTURE IS THE EXPLANATION

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Answer 2

AnswEr :

Value of given expression is 6

Explanation :

Let the given polynomial be p(x) = x² + 3x - 2

On comparing the above polynomial with p(x) = ax² + bx + c

• a= 1
• b = 3
• c = - 3

We know that,

• Sum of Zeros = - b/a

• Product of Zeros = c/a

If $\alpha \ \sf{and} \ \beta$ are the zeros of the above polynomial

We would have,

Sum of Zeros :

$\sf \: \alpha + \beta = - 3$

Product of Zeros :

$\sf \: \alpha \beta = - 2$

Now,

${ \alpha \beta }^{2} + { \beta \alpha }^{2} \\ \\ \longrightarrow \: \sf \: \alpha \beta ( \alpha + \beta ) \\ \\ \longrightarrow \: \sf \: ( - 2)( - 3) \\ \\ \longrightarrow \sf \: 6$