SECOND-DEGREE EQUATIONS WITH ONE UNKNOWN

Question 1

WHAT IS A SECOND DEGREE EQUATION WITH ONE UNKNOWN ALSO KNOWN AS?

Answer 1

A QUADRATIC EQUATION

Question 2

IN QUADRATIC EQUATIONS WHAT IS THE HIGHEST POWER?

Answer 2

x²

Question 3

WHAT IS THE STANDARD FORMAT FOR A QUADRATIC EQUATION?

Answer 3

ax² + bx + c = 0

Question 4

WHAT WILL SOME QUADRATIC EQUATIONS HAVE?

Answer 4

ONLY A TERM IN x² AND A NUMBER SUCH AS
x² - 25

Question 5

WHAT ARE THE TWO SOLUTIONS FOR A QUADRATIC EQUATION SOMETIMES CALLED?

Answer 5

THE ROOTS OF THE EQUATION

Question 6

IF THERE ARE TWO SOLUTIONS FOR A QUADRATIC EQUATION WHAT MUST OCCUR FOR ONE OF THE ROOTS TO BE ZERO?

Answer 6

• FOR THE TWO SOLUTIONS TO BE THE SAME
• TO HAVE NO REAL ROOTS

Question 7

EXAMPLES OF QUADRATIC EQUATIONS

Answer 7

3x² + 8x + 5 = 0
a = 3
b = 8
c = 5
4x² - 7x = 0
a = 4
b = -7
c = 0

Question 8

SOLVING QUADRATIC EQUATIONS

HOW CAN QUADRATIC EQUATIONS BE SOLVED?

Answer 8

FACTORISATION
PUTTING IN BRACKETS
THE TWO FACTORS ARE WRITTEN WITHIN TWO PAIRS OF ADJACENT BRACKETS

Question 9

SOLVING QUADRATIC EQUATIONS

IN QUADRATIC EXPRESSION WHAT IS THE PRODUCT OF THE TWO FACTORS?

Answer 9

ZERO

Question 10

SOLVING QUADRATIC EQUATIONS

HOW MAY THE TWO SOLUTIONS TO THE EQUATION BE FOUND?

Answer 10

BY SETTING EACH OF THE FACTORS TO ZERO IN TURN

Question 11

EQUATIONS WHICH WILL NOT FACTORISE

WHEN A QUADRATIC EQUATION WON’T FACTORISE WHAT DO WE USE TO SOLVE IT?

Answer 11

A QUADRATIC EQUATION

Question 12

EQUATIONS WHICH WILL NOT FACTORISE

WHAT IS THE QUADRATIC FORMULA?

Answer 12

Question 13

EQUATIONS WHICH WILL NOT FACTORISE

THINGS TO NOTE ABOUT THE QUADRATIC FORMULA

Answer 13

• USED WHEN FACTORISATION IS TOO DIFFICULT
• IT MAY BE USED TO SOLVE ANY QUADRATIC EQUATION

Question 14

EQUATIONS WHICH WILL NOT FACTORISE

SOLVE THE EQUATION
3x² - 8x +2
WHERE
a = 3
b = -8
c = 2

Answer 14