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4 years ago

The solutions of a quadratic equation are 5 and -1. What is the factored form of a related quadratic function?

Mathematics

2 answers:

Alecsey [184]4 years ago

3 0

Answer:

Step-by-step explanation:

Given the solutions of a quadratic, say x = a, x = b then the factors are

(x - a) and (x - b) and the function is the product of the factors, that is

f(x) = (x - a)(x - b)

Here the solutions are x = 5 and x = - 1, thus the factors are

(x - 5) and (x - (- 1)), that is (x - 5) and (x + 1), thus

f(x) = (x - 5)(x + 1) → A

alexdok [17]4 years ago

3 0

A hope this helps have a blessed day

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iogann1982 [59]

Method 1 :

replace x and y by their value 1 and 3

3 = 4(1) - 1 = 4-1 = 3

2(1) + 3 = 2 + 3 = 5

correct

Method 2 :

y = 4x - 1

2x + y = 5

y = 4x - 1

y = -2x + 5

y - y = 4x - 1 - ( -2x + 5 )

0 = 4x - 1 + 2x - 5

6x - 6 = 0

6x = 6

x = 6/6 = 1

y = 4x - 1

y = 4(1) - 1

y = 3

correct

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