Polynomial Characteristics
An example of a polynomial of degree 5 with 4 terms.
What is x5+x4+x3+9?
UP UP
What are the end behaviors of an even degree polynomial with a positive leading coefficient?
A polynomial that has factored form y=(x-7)(x+6).
What is x2-x-42?
The polynomial that, when divided by (x-1), gives the remainder (x2-7x+4).
What is y=x3-8x2+11x-4?
A second degree polynomial with roots at 3 and -2.
What is x2-x-6?
A polynomial with an even degree and a negative leading coefficient.
What kind of polynomial had the end behavior DOWN DOWN?
A polynomial whose factored form is y=(x-4)(x-3)2?
What is y=x3-10x2+33x-36?
The polynomial that, when divided by (x+3), gives the remainder (x4-81).
What is y=x5+3x4-81x-243?
An example of a fourth degree trinomial
What is f(x)=x4-8x2+6?
UP DOWN
What are the end behaviors of an odd-degree polynomial with a negative leading coefficient?
A polynomial that has the factored form (x-2)2(x+2)2.
That is the polynomial y=x4-8x2+16?
The polynomial that, when divided by (x-1), gives the remainder (x2+8x+4).
What is y=x3+7x2-4x-4?
An example of
(answers may vary)
A polynomial with an odd degree and a negative leading coefficient.
What kind of polynomial had the end behavior UP DOWN?
A polynomial that can be factored as y=(x-8)(x)(x+1).
What is y=x3-7x2-8x?
A polynomial that, when in factored form, is y=(x-1)2(x+5)(x-6)
What is x4-3x3-27x2+59x-30?
An example of a 5th degree binomial with an x-intercept at -3.
What is f(x)=x5-9x3?
(answers may vary)
DOWN UP
What are the end behaviors of an odd-degree polynomial with a positive leading coefficient?
A polynomial with the factored form y=(x+6)2(x-3)3
What is y=x5+3x4-45x3-27x2+648x-972?
A polynomial in expanded form whose factored form is (x-2)3(x-8).
What is x4-14x3+60x2-104x+64?