Practice Example 1: Factoring (4.1) - Quadratic Functions - IB 10 Mathematics

Practise this section

10 questions

Flashcard drill
5 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Solve x² + 7x + 12 = 0 by factoring.
Show hintHide hint
List the factor pairs of 12 and find the pair that adds to 7.
Question 2.
Solve x² − 9x + 20 = 0 by factoring.
Show hintHide hint
A positive product with a negative sum means both numbers are negative.
3Question 3.
What is the factorised form of x² + 5x + 6?
- (x + 1)(x + 6)
- (x + 2)(x + 3)
- (x − 2)(x − 3)
- (x + 5)(x + 1)
Show hintHide hint
Find two numbers that multiply to 6 and add to 5.
4Question 4.
What are the solutions of (x + 2)(x + 3) = 0?
- x = 2 or x = 3
- x = −2 or x = −3
- x = −5 or x = −6
Show hintHide hint
Set each bracket equal to zero.
Question 5.
Solve 6x² + x − 2 = 0 by factoring, and check one of your answers.
Show hintHide hint
Look for factors of −12 that add to 1, then group.
Question 6.
x = 4 is one root of x² + kx − 12 = 0. Find k and the other root.
Show hintHide hint
A root makes the equation true, so substitute it to find k first.

6 more questions in this section. Enroll free to practise them all.