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The function f(x) is a quadratic function and the zeros of f(x) are 1 and 5. The y-intercept of f(x) is 20. Write the equation of the quadra
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The function f(x) is a quadratic function and the zeros of f(x) are 1 and 5. The y-intercept of f(x) is 20. Write the equation of the quadratic polynomial in standard form.
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Mathematics
3 years
2021-07-31T14:08:42+00:00
2021-07-31T14:08:42+00:00 1 Answers
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Answer:
4x² – 24x + 20 = 0
Step-by-step explanation:
a(1)² + b(1) + 20 = 0
a(5)² + b(5) + 20 = 0
a + b = – 20 ⇒ b = – a – 20 …… (1)
25a + 5b = – 20 ………. (2)
(1) —–> (2)
25a + 5( – a – 20) = – 20
20a – 100 = – 20 ⇒ a = 4
4 + b = – 20 ⇒ b = – 24
4x² – 24x + 20 = 0