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Convert factored form quadratic function to standard form​

Convert factored form quadratic function to standard form​-example-1
User TimS
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1 Answer

18 votes
18 votes

Answer:

pretty much you would have to multiply the quadratic functions.

Explanation:

For example, 1. is (x-4)(x+5). From here, we just multiply using FOIL (first, outer, inner, last)

x times x = x^2
x times 5 = 5x
-4 times x - -4x

5 times -4 = -20

so we get x^2 + 5x - 4x - 20, but we can still simplify. combine like terms (5x and -4x) and our quadratic function in standard form will be x^2 + x - 20.

you just follow this method for the rest of the questions.

for the equations that are multiplied with a coefficient, just multiply how you would do above, and at the very end, multiply the whole function that has been translated into standard form.

for example, solving question 5, you would solve (x + 2)(x - 4), which is equal to x^2 -2x - 8 by 1/2, so then it would turn into 1/2x^2 - x - 4.

Hope this makes sense :D

User ShockwaveNN
by
2.7k points
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