5.1.3 Finding Zeros and X-Intercepts (factored form)

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What does it mean to 'find the zeros' of a quadratic?

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To find the zeros of a quadratic means to set the expression equal to zero and solve for x, which gives the x-intercepts of the graph.

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CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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How do you find the x-intercept of a quadratic function in factored form?

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To find the x-intercept, set each factor equal to zero and solve for x.

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CCSS.HSF-IF.C.7A

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CCSS.HSF-IF.C.7C

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CCSS.HSA-REI.B.4B

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Back

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CCSS.HSA-REI.B.4B

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What does the term 'x-intercept' refer to?

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The x-intercept is the point where the graph crosses the x-axis, meaning the value of y is zero.

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CCSS.HSA-REI.B.4B

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What is the significance of finding zeros in a quadratic function?

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Finding zeros helps identify the points where the graph intersects the x-axis, which is important for graphing and understanding the function's behavior.

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CCSS.HSF-IF.C.7A

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How can you verify the zeros of a quadratic function?

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You can verify the zeros by substituting them back into the original equation to see if they yield zero.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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What is the relationship between the factors of a quadratic and its zeros?

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The factors of a quadratic equation correspond to its zeros; each factor gives a zero when set to zero.

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CCSS.HSF-IF.C.7C