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 o f the quadratic polynomial in standard form.
1 answer:
Answer:
<em>4x² - 24x + 20 = 0 </em>
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
<em>4x² - 24x + 20 = 0</em>
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