write quadratic polynomial whose zeroes are -3√2 and√2
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Step-by-step explanation:
Sum of the zeroes, S = - 3 √2 + √2
= -2 √2
Product of the zeroes, P = -3 √2 × √2
= - 3 × 2
= - 6
Required polynomial
= k ( x² - S x + P) , where k is constant
= x² - (-2√2 ) x + (- 6 )
= x² + 2 √2 x - 6 , where k = 1
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