# Worksheet: Factoring Monic Quadratics

In this worksheet, we will practice factoring quadratics where the coefficient of the leading term is one.

Q1:

Factor .

• A
• B
• C
• D
• E

Q2:

Solve the equation by factoring.

• A or
• B or
• C
• D

Q3:

Solve by factoring.

• A
• B ,
• C ,
• D
• E

Q4:

Factor .

• A
• B
• C
• D
• E

Q5:

Factor .

• A
• B
• C
• D
• E

Q6:

Find the solution set of in .

• A
• B
• C
• D
• E

Q7:

Find the solution set of in .

• A
• B
• C
• D

Q8:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q9:

Factorise fully .

• A
• B
• C
• D

Q10:

Find the solution set of in .

• A
• B
• C
• D
• E

Q11:

Given that , find .

Q12:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q13:

By factoring, solve the equation .

• A ,
• B
• C
• D ,
• E

Q14:

Find the solution set of in .

• A
• B
• C
• D
• E

Q15:

Find the solution set of in .

• A
• B
• C
• D
• E

Q16:

Find the solution set of the equation in .

• A
• B
• C
• D

Q17:

Solve the equation .

• A ,
• B ,
• C ,
• D ,

Q18:

Identify the solutions to the equation .

• A or
• B or
• C or
• D or

Q19:

At which values of does the graph of the equation cross the -axis?

• A and
• B 0 and
• C 0 and
• D0 and 10
• E0 and

Q20:

At which values of does the graph of the equation cross the -axis?

• A and
• B2 and
• C4 and
• D and 6
• E 4 and 12

Q21:

Find algebraically the solution set of the equation .

• A
• B
• C
• D

Q22:

Factor the equation .

• A
• B
• C
• D
• E

At which values of does the graph of cross the -axis?

• A3 and
• B3
• C4.5 and
• D9 and
• E4.5

Q23:

Find the solution set of the equation .

• A
• B
• C
• D

Q24:

What property is illustrated by the step

• AThe commutative property of addition
• BThe associative property of addition
• CThe associative property of multiplication
• DThe distributive property of multiplication over addition
• EThe property of opposites

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