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Black_prince [1.1K]
3 years ago
7

Write a quadratic equation whose roots are -4 and one and who's leading coefficient is five

Mathematics
1 answer:
Alex3 years ago
7 0

Step-by-step explanation:

- 4 and 1 are roots.

Therefore, (x + 4) & (x - 1) are factors and 5 is leading coefficient.

Therefore, required quadratic equation is:

5 (x + 4) (x - 1)  \\  = 5( {x}^{2}  - x + 4x - 4) \\  = 5( {x}^{2}  + 3x - 4) \\  = 5 {x}^{2}  + 15x - 20

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