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the factored form for a quadratic function is f(x)=(x‒p)(x‒q). the standard form for a quadratic function is
f(x)=ax^2+bx+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.

if p=‒1 and q=‒2, use what you have learned about multiplying polynomials to

1) write the factored form of the quadratic

2) write the standard form for the quadratic.

the final equation: