Find the standard form of the quadratic equation: f(x)=(2x-1)(x+4)

Mathematics

1 answer:

katrin [286]2 years ago

3 0

Answer:

$f(x) = 2x ^{2} + 7x - 4$

Step-by-step explanation:

$\because \: f(x) = (2x - 1)(x + 4) \\ \therefore \:f(x) = 2x(x + 4) - 1(x + 4) \\ \therefore \:f(x) = 2x ^{2} + 8x - x - 4 \\ \therefore \:f(x) = 2x ^{2} + 7x - 4 \\$

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The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son’s presen

fomenos

Hello,

Let's assume f the age of the father,
s the age of the son.

The age of a father is 2 less than 7 times the age of his son ==> f=7s-2 (1)


In 3 years, the sum of their ages will be 52 ==>(f+3)+(s+3)=52 (2)

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