What does it mean when a polynomial equation is in standard form?
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Part 1
Choose the correct answer.
A.
All terms are on one side of the equation and zero is on the other side.
B.
The polynomial is in factored form.
C.
All terms with a variable are on one side of the equation, and the constant is on the other side of the equation.
D.
It is in the form AxplusByequalsC.
A. All terms are on one side of the equation and zero is on the other side.
Which of the following is used to find the x-coordinate of the vertex of a parabola?
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Part 1
Choose the correct answer below.
A.StartFraction negative b plus or minus StartRoot b squared minus 4 ac EndRoot Over 2 a EndFraction
StartFraction negative b plus or minus StartRoot b squared minus 4 ac EndRoot Over 2 a EndFraction
B.StartFraction negative b Over 2 a EndFraction
StartFraction negative b Over 2 a EndFraction
C.
(axplusb)squaredequalsc
D.
bsquaredminus4ac
B. \(\frac{-b}{2a}\)
Find the value of c such that the expression is a perfect-square trinomial.
xsquaredplus2xplusc
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Part 1
cequals
enter your response here
(Simplify your answer. Type an integer or a fraction.)
To find the value of \(c\) such that the expression \(x^2 + 2x + c\) is a perfect square trinomial, we need to take half of the coefficient of \(x\) (which is 2) and square it.
\(c = (2/2)^2 = 1\)
Therefore, the value of \(c\) that makes the expression a perfect square trinomial is 1.