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 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.IF.A.2

3.

FLASHCARD QUESTION

Front

Find the roots of the function. What are they?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

Define 'zero of a function'.

Back

Tags

CCSS.HSF-IF.C.7D

7.

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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