5.1.3 Finding Zeros and X-Intercepts (factored form)

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Mathematics
•
7th - 9th Grade
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What does it mean to 'find the zeros' of a quadratic?
Back
To find the zeros of a quadratic means to factor the quadratic expression, set each factor equal to zero, and solve for the values of x that make the equation true.
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
How do you solve the equation (x - 5)(x - 1) = 0?
Back
Set each factor equal to zero: x - 5 = 0 gives x = 5, and x - 1 = 0 gives x = 1. Therefore, the solutions are (5, 0) and (1, 0).
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What is another term for 'x-intercepts'?
Back
X-intercepts can also be referred to as zeros, roots, or points where the function crosses the x-axis.
Tags
CCSS.HSF-IF.C.7C
4.
FLASHCARD QUESTION
Front
What are the solutions to the equation x^2 - 6x + 8 = 0?
Back
The solutions are x = 2 and x = 4, which can be found by factoring the quadratic.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
Which value is a zero of the function f(x) = x^2 + 2x - 3?
Back
The zero of the function is x = -1, as it satisfies the equation f(-1) = 0.
Tags
CCSS.HSA.APR.B.3
6.
FLASHCARD QUESTION
Front
What is the significance of the x-intercepts in a graph?
Back
The x-intercepts indicate the points where the graph of the function crosses the x-axis, representing the values of x for which the function equals zero.
Tags
CCSS.HSF-IF.C.7C
7.
FLASHCARD QUESTION
Front
How can you verify if a value is a zero of a function?
Back
To verify if a value is a zero, substitute it into the function. If the result is zero, then it is a zero of the function.
Tags
CCSS.HSF-IF.C.7C
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