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Write the quadratic question whose roots are 1 and 6, and whose leading coefficient is 4

User SGC
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1 Answer

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Answer:


4 {x}^(2) - 28x + 24

Explanation:

Roots of the quadratic equation are 1 and 6

Therefore, (x - 1) & (x - 6) are factors.

Leading coefficient is: 4

Required quadratic equation is given as:


4(x - 1)(x - 6) \\ = 4( {x}^(2) - 6x - x + 6) \\ = 4( {x}^(2) - 7x + 6) \\ = 4 {x}^(2) - 28x + 24

User Ocean
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