Question

A quadratic polynomial, whose zeroes are -4 and -5, is *

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Answer 1

➸ Given:-

Roots of The Quadratic Equation

• -4
• -5

☣ To Find:-

• To form the Quadratic Equation.

☢ Solution:-

If $\alpha\;\&\;\beta$ are Roots of the Quadratic Equation.

$☫\;\pink{\bold{x²+(\alpha+\beta)x+\alpha\beta}}$

メ x²+(Sum of Roots)x+(Product of Roots)

${x}^{2} + [( - 4 )+ ( - 5)]x + ( - 4) \times ( - 5) \\ {x}^{2} + ( - 9x) + 20 \\ {x}^{2} - 9x + 20$

Required Quadratic Equation

• $\red{\sf{x²-9x+20 = 0}}$

$\boxed{\tt{@MrMonarque}}$

Hope It Helps You ✌️