Quiz about Factor Quadratics Perfect Squares

Question 1

Factor: x² + 24x + 144

Accepted Answer

(x + 12)2

Answer

(x + 9)2

Answer

(x + 15)2

Answer

(x + 13)2

Question 2

Factor: x² - 4x + 4

Accepted Answer

(x - 2)2

Answer

(x + 2)2

Answer

(x + 4)2

Answer

(x - 4)2

Question 3

x² - 20x + 100

Accepted Answer

(x-10)2

Answer

(x+10)2

Question 4

Factor: x² - 30x + 225

Accepted Answer

(x - 15)2

Answer

(x + 15)2

Answer

(x + 25)2

Answer

(x - 25)2

Question 5

Factor:
n²+ 10n + 25

Accepted Answer

(n + 5)2

Answer

(n + 5)(n - 5)

Answer

(n + 25)(n + 1)

Answer

(n - 5)2

Question 6

Is this a perfect square trinomial?
x² + 16x + 64

Accepted Answer

Yes

Answer

No

Question 7

The value of k in the perfect square trinomial kx²+30xy +9y² is _________

Accepted Answer

25

Answer

3

Answer

5

Answer

81

Question 8

The value of k in the perfect square trinomial 4 $$a^2$$ + 20a +k is _________.

Accepted Answer

Answer

Answer

Answer

Question 9

The value of k in the perfect square trinomial 225a² + 30ab + k is _________

Accepted Answer

b2

Answer

10

Answer

15

Answer

4b2

Question 10

Factor completely. 9m²+30mn+25n²

Accepted Answer

(3m+5n)2

Answer

(3m-5n)2

Answer

(3m+n)2

Answer

(m+5n)2

Question 11

Factor completely. b²-22b+121

Accepted Answer

(b-11)2

Answer

(b+11)2

Answer

(b2+11)2

Answer

(2b-11)2

Question 12

Factor completely. 16p²- 8p + 1

Accepted Answer

(4p-1)2

Answer

(4p+1)2

Answer

(p-4)2

Answer

(4p-1)

Question 13

Which of the following has $$\left(\frac{x}{2}+\frac{1}{3}\right)^2$$ as factors?

Accepted Answer

$$\frac{1}{4}x^2+\frac{1}{3}x+\frac{1}{9}$$

Answer

$$x^2+x+\frac{1}{4}$$

Answer

$$\frac{1}{x}x^2-\frac{1}{2}x+\frac{1}{9}$$

Answer

$$x^2+\frac{1}{3}x+\frac{1}{9}$$

Question 14

Put into standard form: (x - 3)²

Accepted Answer

x² - 6x + 9

Answer

x² + 3x + 9

Answer

x² - 3x - 9

Answer

x² + 6x - 9

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