Quadratic polynomial whose zeroes are 5 and -2
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Quadratic polynomial whose zeroes are 5 and -2 is k(x² - 3x - 10); where k is constant.
Step-by-step explanation:
Concept: We find the polynomial with given zeroes using the equation;
k ( x² - (Sum of zeroes)x + Product of zeroes); where k is constant
Given: Zeroes of quadratic polynomial;
= 5
β = -2.
Sum of zeroes of the polynomial = 5 + (-2) = 5 - 2 = 3
Product of zeroes of the polynomial = 5 x (-2) = - 10
Required polynomial is -
k ( x² - (Sum of zeroes)x + Product of zeroes); where k is constant
= k(x² - 3x - 10)
Quadratic polynomial whose zeroes are 5 and -2 is k(x² - 3x - 10); where k is constant.
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