What are the roots of the function $$y=5x^2+5x-30$$ ?

The roots are $$\left\{-3, 2\right\}$$ .

What are the solutions of the function $$y=x^2+5x+6$$ ?

The solutions are $$\left\{-1, 5\right\}$$ .

Explain the relationship between roots and factors of a polynomial.

If $$r$$ is a root of a polynomial, then $$(x - r)$$ is a factor of that polynomial.

What is the quadratic formula used for?

The quadratic formula is used to find the roots of a quadratic equation of the form $$ax^2 + bx + c = 0$$ .

State the quadratic formula.

The quadratic formula is $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ .

What does the discriminant of a quadratic equation tell us?

The discriminant $$D = b^2 - 4ac$$ indicates the nature of the roots: if D > 0, two distinct real roots; if D = 0, one real root; if D

How do you determine if a number is a zero of a function?

Substitute the number into the function; if the result is zero, it is a zero of the function.

What is a polynomial function?

A polynomial function is a function that can be expressed in the form $$f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0$$ where $$a_n, a_{n-1}, ..., a_0$$ are constants.

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable $$x$$ in the polynomial.

Provide an example of a quadratic function and its zeros.

Example: $$f(x) = x^2 - 4$$ has zeros at $$x = -2$$ and $$x = 2$$ .

Zeros of Functions

Flashcard

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Mathematics

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9th Grade

•

Practice Problem

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Hard

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CCSS

HSA-REI.B.4B, HSF.IF.A.2, HSF-IF.C.7D

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FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.IF.A.2

FLASHCARD QUESTION

Front

Find the roots of the function. What are they?

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Define 'zero of a function'.

Back

Tags

CCSS.HSF-IF.C.7D

FLASHCARD QUESTION

Front

What is the significance of finding the roots of a function?

Back

Finding the roots helps in understanding where the function intersects the x-axis.

Tags

CCSS.HSF-IF.C.7A

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