Polynomials Jeopardy!!

Vocab and Formulas

100

Is this a polynomial?

f(x)= 7x⁷-5x^-1

NO

200

What is the leading coefficient of the following polynomial?

f(x)=4x²-5x+8-16x⁴

-16

300

What is the degree of the following polynomial?

g(x)=4x³y-6x³+10y²

4

400

What 3 things can a polynomial function NOT have?

Negative exponents, Fractional Exponents, Variables in the denominator

500

Write a polynomial with a leading coefficient of -3, degree of 5, quadratic coefficient of 6, and constant of -7.

I will come check

Factoring

100

Factor the following completely:

81x⁴-81

81(x²+1)(x+1)(x-1)

200

Factor the following completely:

6x³+4x²+3x+2

(3x+2)(x²+1)

300

Factor the following completely:

7x³+189

7(x+3)(x²-3x+9)

400

14x²+29x-15

(7x-3)(2x+5)

500

Factor the following completely:

2x⁸-512

2(x⁴+16)(x²+4)(x+2)(x-2)

That's too complex

100

Simplify:    (3+2i)+(2+7i)

5+9i

200

Simplify:      (4-5i)-(-10+3i)

14-8i

300

Simplify:     (2+3i)(5+7i)

29i-11

400

Simplify:    (4+2i)(5-3i)(1+i)

28+24i

500

6-2i divided by 4-5i

(34+22i)/41

Rational Roots

100

Is -2 a factor of the following:

y=x³-8x-8

yes

200

What are all potential factors of the following:

y=x³-10x²+30x-24

1,2,3,4,6,8,12,24

both positive and negative 

300

Find all the rational roots of the equation:

y=4x³+7x²-62x+15

Given that one of the roots is 1/4

-5, 3, 1/4

400

Find all rational roots of the following:

y=x³-6x²+11x-6

1, 2, 3

500

Find all roots of the following:]

y=x³+3x²+4x+12

-3,2i, -2i

#flashbackfriday

100

Find the inverse of the following:

f(x)=(x-1)³

1+- sqrt(x)

200

How many real solutions does the following have?

y=x⁴+2x³-2x+1

NONE

300

What is the center and radius of the following circle:

(x-9)²+y²=196

c: (9,0)

rad:=14

400

Find the inverse of the following:

f(x)= 5/(3-x)

3x-5/x

500

Simplify the following using positive exponents only:

(4x^-2y⁷)(-2x⁵y^-18)(3z³x^-3y²)

-24y^-9z³