Quiz about Algebra Basic Factoring

Question 1

Given a quadratic in the form $$ax²+bx+c$$ ,
if $$c$$ is positive and $$b$$ is positive, then the factors will be...

Accepted Answer

both positive

Answer

both negative

Answer

one positive and one negative, and the bigger factor will be negative

Answer

one positive and one negative, and the bigger factor will be positive

Question 2

Given a quadratic in the form $$ax²+bx+c$$ ,
if $$c$$ is positive and $$b$$ is negative, then the factors will be...

Accepted Answer

both negative

Answer

both positive

Answer

one positive and one negative, and the bigger factor will be negative

Answer

one positive and one negative, and the bigger factor will be positive

Question 3

Given a quadratic in the form $$ax²+bx+c$$ ,
if $$c$$ is negative and $$b$$ is positive, then the factors will be...

Accepted Answer

one positive and one negative, and the bigger factor will be positive

Answer

both positive

Answer

both negative

Answer

one positive and one negative, and the bigger factor will be negative

Question 4

Given a quadratic in the form $$ax²+bx+c$$ ,
if $$c$$ is negative and $$b$$ is negative, then the factors will be...

Accepted Answer

one positive and one negative, and the bigger factor will be negative

Answer

both positive

Answer

both negative

Answer

one positive and one negative, and the bigger factor will be positive

Question 5

Factor completely.
k² -2k - 24

Accepted Answer

(k+4)(k-6)

Answer

(k+4)(k+6)

Answer

(k+6)(k-1)

Answer

(k-4)(k+6)

Question 6

Factor completely: x²-6x+8

Accepted Answer

(x-2)(x-4)

Answer

(x-1)(x-8)

Answer

(x+2)(x+4)

Answer

(x+1)(x+8)

Question 7

What is the first step when factoring polynomials?

Accepted Answer

Find the GCF

Answer

List all the terms

Answer

Make a triangle

Answer

Write the answer

Question 8

-6y + 36

Accepted Answer

-6 (y -6)

Answer

6 (y + 6)

Answer

-6 (1)

Answer

cannot be factored

Question 9

9x + 3

Accepted Answer

3( 3x +1)

Answer

9 (x+1)

Answer

3(3x + 3)

Answer

cannot be factored

Question 10

What is the GCF? 5x²+20x

Accepted Answer

5x

Answer

5

Answer

x

Answer

20x

Question 11

Factor:
p² - 14p

Accepted Answer

p(p - 14)

Answer

p(1 - 14)

Answer

2p(p - 7)

Answer

p2(1-14)

Question 12

Factor Completely:

6m² + 16m

Accepted Answer

2m(3m + 8)

Answer

2(3m² + 8m)

Answer

2m(3m - 8m)

Answer

not factorable

Question 13

Factor completely: x²+16x+64

Accepted Answer

(x+8)(x+8)

Answer

(x+4)(x+16)

Answer

(x-8)(x-8)

Answer

(x+2)(x+32)

Algebra Basic Factoring

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