Free Printable G9 S2

Worksheets

G9 S2

Total questions: 47

Worksheet time: 4hrs 31mins

Name

Class

Date

2x³ - 5x² + 3x + 7 ÷ x - 2

2x³ - x² + x + 9

2x² - x + 1

2x² - x + 1 + 9/(x - 2)

2x² - 9x - 15 - 23/(x - 2)

Decide if (x - 3) is a factor of 3x³+ 10x²- x - 12.

Yes, it is a factor

No, it is not a factor

Divide (4x³ - 2x² - 3) by (2x² - 1).

2x - 1 + (2x - 4)/(2x² - 1)

2x + 3 + (x - 3)/(2x² - 1)

2x - 1

2x + 3 + (3x-5)/(2x² - 1)

(6b²- 5b - 52) ÷ (3b - 10)

2b - 5 +2/(3b - 10)

2b + 5 - 2/(3b - 10)

18b -15 + 3/(3b - 10)

-2b +15 +2/(3b - 10)

Which of the following represents the graph below?

What is the equation of the rational function graphed?

what is the equation that best matches the graph?

What is the horizontal asymptote to this function?

y=4

y=0

y=-2

y=1

QR is a midsegment of triangle FGH. Solve for the value of x?

5.5

-5.5

-11

10.

QR is a midsegment of triangle BCD. Solve for the value of x.

-7

11.

TS is a midsegment of triangle GHI. Solve for the value of x.

12.

What is the measure of ∠S?

not enough information

180

13.

Find the value of x.

14.

What is the value of y?

15.

What is the end behavior as x → -∞ f(x)→ ?

-∞

∞

16.

The end behavior of the graph is:

x → ∞, y → ∞ and x → ∞, y → –∞

x → ∞, y → ∞ and x → –∞, y → ∞

x → ∞, y → ∞ and x → –∞, y → 0

x → ∞, y → ∞ and x → –∞, y → –∞

17.

Which graph has the end behavior shown?

18.

Multiply: (−8k² −3k−1)(3k² −k+6)

−20k⁴ −k³ −45k² −17k−1

−24k⁴ −k³ −48k² −17k−6

−24k³−k³ −48k² −17k−6

−24k⁴ −k³ −48k²

19.

Multiply: (6x² +x+1)(−6x² −6x−8)

−6x⁴ −7x³−6x² −7x−8

36x⁴ −42x³−60x² + 14x + 8

−36x⁴ −42x³−60x² −14x−8

20.

(5x+2)(x²-3x+6)

5x³- 17x²+24x +12

5x³+ 17x² - 24x +12

5x³ - 13x² + 24x +12

5x³ +13x² - 24x - 12

21.

(2x + 3)(x² + 4x + 1)

2x³ + 10x² + 14x + 4

2x³ + 11x² + 14x + 3

-2x³ - 11x² + 14x + 5

x³ - 11x² + 14x + 3

22.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

Yes, (x-2) is a factor. There is a remainder.

No, (x-2) is not a factor. The remainder is zero.

Yes, (x-2) is a factor. The remainder is zero.

No, (x-2) is not a factor. There is a remainder.

23.

Find all rational zeros, one zero has been given.
f(x) = x³-5x²-2x+24; -2

-2,1,0

-2,-3,-4

4,3,-2

0,0,0

24.

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

2x-10

-2x-10

2x+10

25.

Expand the expression using the Binomial Theorem.

(2x+5)⁴

2x⁴ + 40x³+ 300x² + 1000x +625

16x⁴+ 160x³ +600x² +1000x + 625

16x⁴ + 1000x³ + 600x²+ 160x +625

26.

$-336x^2y^4$

$3360x^6y^4$

$-3360x^4y^6$

$3360x^4y^6$

27.

What could be the equation for this graph?

y = -2x³+ 1x + 3

y = (x - 2)(x + 1)(x + 3)

y = (x + 2)(x - 1)(x - 3)

y = -2x² + 1x + 3

28.

What could be the equation for this graph?

y = -2x³+ 1x + 3

y = (x - 2)(x + 1)(x + 3)

y = (x + 2)(x - 1)(x - 3)

y = -2x² + 1x + 3

29.

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

3, √5

3, √5, -√5

-3, √5, -√5

-3, 5i, -5i

30.

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

6, 3, -3

-6, 3, -3

-6, 3i, -3i

6, 3i, -3i

31.

Find all zeros for the polynomial function P(x)= x³-3x²+12x-10

1, 1-3i, 1+3i

1, 1+3i, -1-3i

-1, -1+3i, -1-3i

-1, -5, 2

32.

What are the zeros of the polynomial function

P\left(x\right)=x\left(x-1\right)\left(x+2\right)\left(x-3\right)

1, 2, 3

0, 1, 2, 3

0, -1, 2, -3

0, 1, -2, 3

33.

What is the end behavior of the graph of

P\left(x\right)=-2x^4+3x^2-2x+1

The graph falls to the left and rises to the right

The graph rises to the left and falls to the right

The graph rises to both ends

The graph falls to both ends

34.

What are the zeros for the given polynomial? (Check all that apply)

-4

-3

-2

-1

35.

Factor completely. 3𝑥³y² – 2𝑥²y + 5xy

y(3x³y-2x²+5)

xy(3x²y-2x+5)

x(3²y²-2xy+5y)

2xy(3/2x²y-x+5/2)

36.

Factor the Polynomial

12x³- 9x² + 4x - 3

(3x² + 1) (4x - 3)

(3x² - 1) (4x + 3)

(4x² + 1) (3x - 3)

(4x² - 1) (3x + 3)

37.

Factor the Polynomial

2x³+ 5x² + 6x + 15

(x² + 3) (2x + 5)

(x² - 3) (2x - 5)

(2x² - 3) (x - 5)

(2x² + 3) (x + 5)

38.

Factor the Polynomial

3x³- 4x² + 9x - 12

(x² + 3) (3x - 4)

(x² - 3) (3x + 4)

(3x² + 3) (x - 4)

(3x² - 3) (x + 4)

39.

Factor the Polynomial

8x³- 64x² + x - 8

(8x² + 1) (x - 8)

(8x² - 1) (x + 8)

(x² + 1) (8x - 8)

(x² - 1) (8x + 8)

40.

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

f(x) = (x+2)(x-1)(x-4)

f(x) =x³ - 3x² - 6x + 8

f(x) = x³+ 8

f(x) = x³ - 3x² + 8

41.

Which of the following would be the correct factored form with roots 2, 5i, and 6?

(x-6)(x-2)(x+5i)(x-5i)

(x+6)(x+2)(x+5i)

(x-6)(x-2)(x-5i)

(x+6)(x+2)(x-5i)

42.

Find a polynomial function of degree 3 with zeros 3i and -2.

P(x) = x³+2x²+9x+11

P(x) = x³-2x²+9x+18

P(x) = x³+2x²+9x+18

P(x) = x²-3ix+2x-6i

43.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

Not Enough Information

44.

If DL = 24, then DG =

45.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

Not Enough Information

46.

X is the centroid of the triangle. If ZX = 3, find AZ.

47.

What is the horizontal asymptote to this function?

y=4

y=0

y=-2

y=1

100 %

G9 S2

Total questions: 47

Worksheet time: 4hrs 31mins

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