#3 Graphing - Linear, Quadratic, Polynomial

POLYNOMIALS FUNCTIONS:

The degree of the polynomial determines the number of roots.

• True

• False

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

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

Tags

CCSS.HSF-IF.C.7C

What degree is this polynomial?

• linear

• quadratic

• cubic

• quartic

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

f(x)=(x+4)(x-3)(x-2)

Write this function in standard form.

(hint: distribute and simplify)

What is the factored form of a function if it has zeros of 2, 3 and -1?

• y = (x-2)(x-3)(x+1)

• y = (x-1)(x-2)(x-3)

• y = (x-1)(x+2)(x+3)

• y = (x+1)(x+2)(x+3)

What are the zeros of the polynomial

y = 3(x - 4)(x + 3)(x - 3)?

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity (how many times the root is repeated).

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

• 2 (Mult of 3), 7 (mult 1)

• 0, 2, 7

• 2 (mult of 2), 7 (mult of 3)

Write the function in standard form:

y = -x (x + 2)(x - 5)(x - 6)

(hint: distribute and simplify)

Identify the zeros, then write the function in factored form: