S2 Polynomial Functions and Factoring

Given the function
f(x) = 3(x - 4)² - 5
What does the 3 tell you about the graph?

• Graph is stretched by a factor of 3
• Graph is shifted right 3 units
• Graph is shifted up 3 units
• None of the above

Given the function f(x) = 3(x - 4)² - 5
What does the 4 tell you about the graph?

• Graph is flipped and stretched by a factor of 4
• Graph is shifted left 4 units
• Graph is shifted down 4 units
• None of the above

The function f(x)=2x⁶-3x⁴+2x-10 could...

• have 6 real zeros.
• have 6 turns.
• have 4 real zeros and 3 imaginary zeros.
• have ends that point in opposite directions.

The polynomial is...

• Odd degree, positive leading coefficient.
• Odd degree, negative leading coefficient.
• Even degree, positive leading coefficient.
• Even degree, negative leading coefficient.

This polynomial is degree 5.
It has...

• 4 real zeros.
• 3 imaginary zeros.
• positive leading coefficient.
• negative leading coefficient.

f(x)=(x+4)(x-3)(x-2)
List the roots for this function.

• x=-4, x=3, x=-2
• x=-4, x=3, x=2
• x=-4, x=3, x=-2
• x=4, x=3, x=2

Identify the roots

• x=2, x=6, x=-4
• (x+2)(x+6)(x-4)
• (x-2)(x-6)(x+4)
• x=-2, x=-6, x=4

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Which function?

• a
• b
• c
• d

Classify the polynomial.

• quintic Monomial
• quintic Binomial
• 10th Degree Monomial
• 10th Degree Polynomial