Quiz about Factoring Perfect Square Trinomials

Question 1

Factor completely

$$49x^3-14x^2+x$$

Accepted Answer

$$x\left(7x-1\right)^2$$

Answer

$$x\left(7x+1\right)^2$$

Answer

$$-x\left(7x+1\right)^2$$

Answer

Cannot be factored further

Question 2

Factor completely

$$x^2-0.6x+0.09$$

Accepted Answer

$$\left(x-0.3\right)^2$$

Answer

$$\left(x+0.3\right)^2$$

Answer

$$\left(x-0.09\right)^2$$

Answer

Cannot be factored further

Question 3

Factor completely

$$9x^3-24x^2+16x$$

Accepted Answer

$$x\left(3x-4\right)^2$$

Answer

$$x\left(3x+4\right)^2$$

Answer

$$-x\left(3x-4\right)^2$$

Answer

Cannot be factored further

Question 4

Factor completely

$$a^2+8a+16$$

Accepted Answer

$$\left(a+4\right)^2$$

Answer

$$\left(a-4\right)^2$$

Answer

$$\left(a+16\right)^2$$

Answer

Cannot be factored further

Question 5

Factor completely

$$a^3-14a^2+49a$$

Accepted Answer

$$a\left(a-7\right)^2$$

Answer

$$-a\left(a-7\right)^2$$

Answer

$$a\left(a+7\right)^2$$

Answer

Cannot be factored further

Question 6

Factor completely

$$81+18y+y^2$$

Accepted Answer

$$\left(9+y\right)^2$$

Answer

$$\left(81+y\right)^2$$

Answer

$$\left(9-y\right)^2$$

Answer

Cannot be factored further

Question 7

Factor completely

$$81-18z+z^2$$

Accepted Answer

$$\left(9-z\right)^2$$

Answer

$$\left(9-z^2\right)$$

Answer

$$\left(9+z\right)^2$$

Answer

Cannot be factored further

Question 8

Factor completely

$$0.04w^2+0.28w+0.49$$

Accepted Answer

$$\left(0.2w+0.7\right)^2$$

Answer

$$\left(0.2w-0.7\right)^2$$

Answer

$$\left(0.4w+0.49\right)^2$$

Answer

Cannot be factored further

Question 9

Factor completely

$$6x^2+12x+6$$

Accepted Answer

$$6\left(x+1\right)^2$$

Answer

$$\left(6x+1\right)^2$$

Answer

$$\left(x+6\right)^2$$

Answer

Cannot be factored further

Question 10

Factor completely

$$y^2-12y+36$$

Accepted Answer

$$\left(y-6\right)^2$$

Answer

$$\left(y+6\right)^2$$

Answer

$$\left(y-36\right)^2$$

Answer

Cannot be factored further

Question 11

Factor completely

$$4x^2+1-4x$$

Accepted Answer

$$\left(2x-1\right)^2$$

Answer

$$\left(2x+1\right)^2$$

Answer

$$-\left(2x-1\right)^2$$

Answer

Cannot be factored further

Question 12

Factor completely

$$a^3-14a^2+49a$$

Accepted Answer

$$a\left(a-7\right)^2$$

Answer

$$a\left(a+7\right)^2$$

Answer

$$-a\left(a-7\right)^2$$

Answer

Cannot be factored further

Question 13

Factor completely

$$6x^2+12x+6$$

Accepted Answer

$$6\left(x+1\right)^2$$

Answer

$$6\left(x-1\right)^2$$

Answer

$$\left(6x+1\right)^2$$

Answer

Cannot be factored further

Question 14

Factor completely

$$81-18z+z^2$$

Accepted Answer

$$\left(9-z\right)^2$$

Answer

$$\left(9+z\right)^2$$

Answer

$$\left(81-z\right)^2$$

Answer

Cannot be factored further

Question 15

Add a term to make this a perfect square trinomial

$$x^2+49$$

Accepted Answer

$$14x$$

Answer

$$7x$$

Answer

$$28x$$

Answer

$$\frac{7}{2}x$$

Question 16

Add a term to make this a perfect square trinomial

$$4x^2+1$$

Accepted Answer

$$4x$$

Answer

$$2x$$

Answer

$$x$$

Answer

$$8x$$

Question 17

Add a term to make this a perfect square trinomial

$$4x^2+9$$

Accepted Answer

$$12x$$

Answer

$$6x$$

Answer

$$3x$$

Answer

$$24x$$

Question 18

Add a term to make this a perfect square trinomial

$$x^2+36$$

Accepted Answer

$$12x$$

Answer

$$6x$$

Answer

$$3x$$

Answer

$$24x$$

Question 19

Add a term to make this a perfect square trinomial

$$36x^2+1$$

Accepted Answer

$$12x$$

Answer

$$6x$$

Answer

$$3x$$

Answer

$$24x$$

Question 20

Add a term to make this a perfect square trinomial

$$x^2+64$$

Accepted Answer

$$16x$$

Answer

$$8x$$

Answer

$$4xx$$

Answer

$$32x$$

Question 21

Add a term to make this a perfect square trinomial

$$x^2+81$$

Accepted Answer

$$18x$$

Answer

$$9x$$

Answer

$$3x$$

Answer

$$36x$$

Question 22

Add a term to make this a perfect square trinomial

$$16x^2+9$$

Accepted Answer

$$24x$$

Answer

$$12x$$

Answer

$$6x$$

Answer

$$48x$$

Question 23

Factor completely

$$\frac{1}{4}x^2-5x+25$$

Accepted Answer

$$\left(\frac{1}{2}x-5\right)^2$$

Answer

$$\left(\frac{1}{2}x+5\right)^2$$

Answer

$$\left(\frac{1}{4}x-25\right)^2$$

Answer

Cannot be factored further

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics