Question

find the polynomial p (x) whose zeroes are -1 and 2

Answer 1

Heya!
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♦Polynomials♦
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✔Given that =>
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♦ -1 and 2 are the zeroes of the polynomial p ( x )

♦We need to find p (x )


=> Sum of Zeroes = -1 + 2

=> 1
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=> Product of Zeroes => 2 × -1

=> -2


⭐Using the Equation p (x ) = x² - sx + p

=> x² - x - 2



➡Alternative Way ⬅
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♦Since -1 and 2 are the Zeroes =>

=> ( x + 1 ) ( x - 2 ) are the factor

=> x² - 2x + x - 2

=> x² - x + 2




➡Hence p ( x ) => x² - x + 2


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Answer 2

❤❤Here is your answer ✌ ✌

$\huge\boxed{\red{\bold{Answer}}}$

sum of zeroes=-1+2=1

products of zeroes =-1×2=-2

polynomial

$x {}^{2} - x + 2$