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3 years ago

Write the quadratic equation whose roots are 1 and −5, and whose leading coefficient is 4.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

5 0

Answer:

Standard Form: y = 4(x-1)(x+5)

Step-by-step explanation:

4 is the leading coefficient, so it should go in front. When making a standard quadratic equation, you must do the opposite for each of the roots (negative to positive, positive to negative.)

if you’re asking for a general form quadratic equation, then sorry, I am unable to help you with that :(

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In descending order the function are represented as $D>F>A>B>E>C$

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Whether it is increasing or is the larger or smaller number it all depends on its slope.

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Similarly we will equate all the fractions.

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3 years ago

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A. Here's a fifth degree polynomial,

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It's in standard form, each term a constant coefficient times a whole number power of x (including the constant, which we can think of as the coefficient on x⁰=1), with the terms sorted from highest degree (highest power on x) to lowest.

B. The closure of addition wrt polynomials just means when we add two polynomials we get another polynomial.

f(x) = x⁵ + 4x⁴ - 14x² + 9

g(x) = -2x⁴ + x

f(x)+g(x) = x⁵ + 2x⁴ - 14x² + x + 9

We added two polynomials, we got another one, that's all closure is.

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