Question
1. The factored form of a quadraticfunctionis f( x )=( x p)( x q) . The standard form of a quadraticfunctionis f( x )=a x
1.
Thefactored formof a quadraticfunctionisf(x)=(xp)(xq). Thestandard formof a quadraticfunctionisf(x)=ax2+bx+c. Thefactored formfor a quadratic function tells us thex-interceptsof the quadratic function, while thestandard formfor a quadratic function tells us they-interceptof the quadratic function. |
If p=2 and q=3, use what you have learned about multiplying polynomials to 1) write the factored form of the quadratic function f(x) 2) write the standard form forthe quadratic function f(x) Use the superscript buttonto create exponents.
2.Use thetable methodto find the quotient.
Then, substitute the valuey=2 into each polynomial, and show that the polynomials represent integers with a true division equation. Show your work for both tasks.
3.Use thelong division methodto find the quotient.
Then, use your answer to prove that division is the inverse (opposite) operation of multiplication. Show your work.
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