Question

The factored form of a quadratic function is f(x)=(x‒p)(x‒q).

Quadratic function and equation
ANSWERED
asked 2021-02-03

The factored form of a quadratic function is \(f(x)=(x‒p)(x‒q)\). The standard form of a quadratic function is \(\displaystyle{f{{\left({x}\right)}}}={a}{x}^{{2}}+{b}{x}+{c}\). The factored form for a quadratic function tells us the x-intercepts of the quadratic function, while the standard form for a quadratic function tells us the y-intercept of the quadratic function.
Answer the following question:
If \(p=2\) and \(q=-3\), use what you have learned about multiplying polynomials to
- write the factored form of the quadratic function f(x)
- write the standard form for the quadratic function f(x)

Answers (1)

2021-02-04

Factored form of the quadratic function f(x) is
\(f(x)=(x-p)(x-q)\)
put \(p=2, q=-3\)
\(=(x-2)(x-(-3))\)
\(f(x)=(x-2)(x+3))\)
Standart form of a quadraticfunction is \(f(x)=(x-2)(x+3)\)
\(\displaystyle={x}{\left({x}+{3}\right)}-{2}{\left({x}+{3}\right)}\)
\(\displaystyle={x}^{{2}}+{3}{x}-{2}{x}-{6}\)
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}+{x}-{6}\)

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