Which of the following is NOT a step in synthetic division?

Subtract the divisor from each coefficient

Bring down the leading coefficient

Multiply and add down the column

Write the remainder as the last entry

If $$f(x) = x^3 - 4x^2 + 5x - 2$$ , and $$f(2) = 0$$ , what does this imply?

$$x - 2$$ is a factor of $$f(x)$$

$$x + 2$$ is a factor of $$f(x)$$

$$x - 2$$ is not a factor of $$f(x)$$

$$x^2 - 2$$ is a factor of $$f(x)$$

Which of the following is the correct setup for synthetic division of $$x^2 - 3x + 2$$ by $$x - 1$$ ?

Use $$1$$ as the synthetic divisor

Use $$-1$$ as the synthetic divisor

Use $$2$$ as the synthetic divisor

Use $$-2$$ as the synthetic divisor

Which of the following is NOT true about synthetic division?

It is a shortcut for dividing by $$x - c$$

It is faster than long division for linear divisors

It gives the remainder directly

If $$f(x) = 2x^3 + 3x^2 - x + 4$$ and $$f(-1) = 0$$ , what does this mean?

$$x + 1$$ is a factor of $$f(x)$$

$$x - 1$$ is a factor of $$f(x)$$

$$x - 4$$ is a factor of $$f(x)$$

$$x + 4$$ is a factor of $$f(x)$$

Which of the following statements is true about the Factor Theorem?

If $$f(c) = 0$$ , then $$x - c$$ is a factor of $$f(x)$$

If $$f(c) = 0$$ , then $$x + c$$ is a factor of $$f(x)$$

If $$f(c) \neq 0$$ , then $$x - c$$ is a factor of $$f(x)$$

If $$f(0) = 0$$ , then $$x$$ is not a factor of $$f(x)$$

Exploring Division and Remainders

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.B.2, HSA.APR.D.6, HSF.IF.A.2

Standards-aligned

Abdul Khan

Used 1+ times

FREE Resource

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main purpose of synthetic division?

To find the roots of a quadratic equation

To factor trinomials

To solve systems of equations

Tags

CCSS.HSA.APR.D.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA.APR.B.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA.APR.B.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a necessary condition for using synthetic division?

The divisor must be quadratic

The dividend must be a monomial

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA.APR.B.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF.IF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Remainder Theorem

Factor Theorem

Fundamental Theorem of Algebra

Binomial Theorem

Tags

CCSS.HSA.APR.B.2

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