Chapter 5 Jeopardy

5-1

100

determine whether or not each expression is a polynomial. If yes, state the degree of the polynomial.

3x+4y

Yes, 1

200

2a(4b+5)

8ab+10a

300

(3x²y^-3)(-2x³y⁵)

(-6x⁵y²)

400

4x(2x²+y)

8x³+4xy

500

3ab(4a-5b)+4b²(2a²+1)

12a²b+8a²b²-15ab²+4b²

5-2

100

(x²-6x-20) ÷ (x+2)

x-8-4/x-2

200

5x²y-10xy+15xy²/5xy

x+3y-2

300

DAILY DOUBLE!!!

9n³p³-18n²p²+21n²p³/ 3n²p²

3np-6+7p

400

(x⁵-4x³+4x²)/ (x-4)

x⁴+4x³+12x²+52x+208+832/x-4

500

(a³b²-a²b+2b)(-ab)^-1

3z⁴-z²+2z²-4z+9-13/z+2

5-3

100

State the degree and leading coefficient of each polynomial in one variable. If it is not a polynomial in one variable explain why

14x⁴-9x³+3x-4y

not in one variable bc there are 2 variables: x and y

200

find W(5) and W(-4) for each function

W(x)=-2x³+3x-12

W(5)=-247

W(-4)=104

300

State the degree and leading coefficient of each polynomial in one variable. If it is not a polynomial in one variable explain why

8x⁵-12x⁶+14xq-9

degree=6

leading coefficient=12

400

State the degree and leading coefficient of each polynomial in one variable. If it is not a polynomial in one variable explain why.

6x⁵-5x⁴+2x⁹-3x²

degree=9

leading coefficient=2

500

c(x=x³-2x) d(x)=4x²-6x+8

find each value

3c(a-4) +3d (a+5)

3a³-24a²+240a+66

5-4

100

determine the axis of symmetry for 

y=x⁴-8x²+16

The axis of symmetry is x=0

200

estimate the x-coordinates at which the relative maxima and relative minima occur if possible

f(x)= x³+x²-6x-3

A relative maximum of the function occurs near x=-1.8

A relative minimum of the function occurs near x=1.1

300

determine the consecutive integers values of x between which each real 0 of the function is located.

f(x)=x³-2x²+5

the real zeros of the function is located between x=-2 and x =-1

400

determine the consecutive integers values of x between which each real 0 of the function is located.

f(x)=-3x⁴+5x³+4x²+4x-8

The real zeros of the function are located between x=0 and x=1, and between x=2 and x=3

500

estimate the x-coordinates at which the relative maxima and relative minima occur.

f(x)= -x³+2x²-3x+4

It is not possible

5-5

100

Write the expression in quadratic form, if possible

y⁸+12³+8

Not possible

200

factor completely. If not factorable say prime

2x³+5y³

Prime

300

factor completely. If not factorable say prime

8c³-125d³

(2c-5d)(4c²+10cd+25d²)

400

factor completely. If not factorable say prime

2kx+4mx-2nx-3ky-6my+3ny

(k+2m-n)(2x-3y)

500

write the equation in quadratic form if possible

4x⁶-2x³+8

4(x³)²-2(x³)+8