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Alg. 2 - 5.4 Synthetic Division and Zeros

Authored by Amy McNabb

Mathematics

University

CCSS covered

Used 4+ times

Alg. 2 - 5.4 Synthetic Division and Zeros
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13 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

True or False?

Since 2 + 3i is a zero of

f(x) = x2 - 4x + 13,

then 2 - 3i is also a zero.

True

False

2.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Given that 4 - 6i is a zero of f(x), what is another zero of f(x)?

Answer explanation

Remember that non-real complex zeros come in pairs. Both conjugates are zeros.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Cam divided (x4 + 3x2 - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

Cam wrote the remainder incorrectly.

Cam did not use a zero place holder for the x3 term.

Cam added instead of subtracting the rows.

Cam should have used -2 as his division since the factor was x-2.

Tags

CCSS.HSA.APR.D.6

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Use synthetic division: (2x3 - 5x - 7) ÷ (x - 2)

2x3 - 4x2 + 3x - 13
2x3 + 4x2 +3x - 1
2x2 - 4x + 3 - 13/x-2
2x2 + 4x + 3 - 1/x-2

Answer explanation

When you set it up, don't forget to put in your placeholder since you skip the x^2 term:

(2x3 + 0x^2 - 5x - 7) ÷ (x - 2)


2 0 -5 -7 as your coefficients

with 2 on the outside.

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Use synthetic division: if 𝒙2+𝟑𝒙+𝟕 is divided by  𝒙+𝟐, then what is the remainder?

0
-3
9
5

Answer explanation

Remember to put -2 on the outside since it makes your x + 2 that you're dividing by = 0.

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find all the x-intercepts of the function

f(x) = 2x3 - 19x2 + 38x + 24 given that (x-4) is a factor.

x = 1/2, -6

x = -1/2, 6

x = 4, -1/2, 6

x = -4, 1/2, -6

Answer explanation

f(x) = 2x3 - 19x2 + 38x + 24 given that (x-4) is a factor.

Divide by x-4. You should get 2x^2 - 11x + 6 and then can that.

Tags

CCSS.HSF-IF.C.7C

7.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Find all the other factors of x3 -3x2 -4x +12 given that x+2 is a factor..

(x-2)

(x+5)

(x+3)

(x-3)

Answer explanation

Divide by x+2, and you should get x^2 - 5x + 6. Then factor your result.

Tags

CCSS.HSA.APR.B.2

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