# Worksheet: Factoring Nonmonic Quadratics

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

Q1:

Factorise fully .

• A
• B
• C
• D

Q2:

Factorise fully .

• A
• B
• C
• D
• E

Q3:

Solve the equation by factoring.

• A
• B
• C or
• D or

Q4:

Find the solution set of the equation in .

• A
• B
• C
• D

Q5:

Find the solution set of in .

• A
• B
• C
• D
• E

Q6:

Given that is a root of the equation , what is the other root?

• A
• B
• C
• D2
• E

Q7:

Find the solution set of in .

• A
• B
• C
• D
• E

Q8:

Solve the equation .

• A ,
• B
• C ,
• D
• E

Q9:

Find the solution set of in .

• A
• B
• C
• D

Q10:

Find the solution set of in .

• A
• B
• C
• D
• E

Q11:

Find the solution set of in .

• A
• B
• C
• D
• E

Q12:

The roots of the equation are and , where . Find, in its simplest form, the quadratic equation whose roots are and .

• A
• B
• C
• D
• E

Q13:

Find the solution set of the equation , giving values to the nearest tenth.

• A
• B
• C
• D

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 in .

• A
• B
• C
• D

Q17:

Find the solution set of in .

• A
• B
• C
• D
• E

Q18:

Given that , find .

• A81
• B9
• C8
• D
• E

Q19:

Solve .

• A
• B or
• C

Deduce from the previous question the solution to , using a change of variable.

• A
• B
• C or

Q20:

Find the solution set of in .

• A
• B
• C
• D
• E

Q21:

Find the solution set of in .

• A
• B
• C
• D

Q22:

Given that , find the solution set of the equation .

• A
• B
• C
• D
• E

Q23:

Solve the equation .

• A ,
• B ,
• C ,
• D ,
• E ,

Q24:

Solve the equation by factoring.

• A or
• B
• C
• D or

Q25:

Solve the equation by factoring.

• A
• B
• C
• D
• E