Information
You have already completed the quiz before. Hence you can not start it again.
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
-
Question 1 of 6
Find the lowest common denominator (LCD) of
6x and 16x2
Incorrect
Loaded: 0%
Progress: 0%
0:00
The lowest common denominator (LCD) can also be referred to as the least common multiple (LCM).
First, decompose each term into its smallest factors.
6x |
: |
2,3, x |
16x2 |
: |
2,2,2,2,x,x |
Combine the red terms and multiply to the black ones.
LCD |
: |
2,x,3,2,2,2,x |
|
: |
2×x×3×2×2×2×x |
Multiply the factors |
|
: |
48x2 |
-
Question 2 of 6
Find the lowest common denominator (LCD) of
x-3 and 3x+5
Incorrect
Loaded: 0%
Progress: 0%
0:00
The lowest common denominator (LCD) can also be referred to as the least common multiple (LCM).
First, look for the factors of the given terms.
x-3 |
: |
x-3,1 |
3x-5 |
: |
3x-5,1 |
Since 1 is the only common factor, then we can find the LCD.
-
Question 3 of 6
Find the lowest common denominator (LCD) of
(x-2)2 and x2+2x+8
Incorrect
Loaded: 0%
Progress: 0%
0:00
The lowest common denominator (LCD) can also be referred to as the least common multiple (LCM).
First, decompose each term into its smallest factors.
Since the second term is in standard form (ax2+bx+c=0) we can factorise using the cross method.
To factorise, we need to find two numbers that add to 2 and multiply to -8
4 and -2 fit both conditions
Read across to get the factors.
Write the factors of the two polynomials next to each other.
(x-2)2 |
= |
(x-2)(x-2) |
x2+2x-8 |
= |
(x+4)(x-2) |
Combine the red terms and multiply to the black ones.
-
Question 4 of 6
Find the lowest common denominator (LCD) of
x2-5x+6 and x2-x-6
Incorrect
Loaded: 0%
Progress: 0%
0:00
The lowest common denominator (LCD) can also be referred to as the least common multiple (LCM).
Since the first polynomial is in standard form (ax2+bx+c=0) we can factorise using the cross method.
To factorise, we need to find two numbers that add to -5 and multiply to 6
-3 and -2 fit both conditions
Read across to get the factors.
Since the first polynomial is in standard form (ax2+bx+c=0) we can factorise using the cross method.
To factorise, we need to find two numbers that add to -1 and multiply to -6
-3 and 2 fit both conditions
Read across to get the factors.
Write the factors of the two polynomials next to each other.
x2-5x+6 |
= |
(x-3)(x-2) |
x2-x-6 |
= |
(x-3)(x+2) |
Combine the red terms and multiply to the black ones.
-
Question 5 of 6
Find the lowest common denominator (LCD) of
x+4 and x2+8x+16
Incorrect
Loaded: 0%
Progress: 0%
0:00
The lowest common denominator (LCD) can also be referred to as the least common multiple (LCM).
Since the second polynomial is in standard form (ax2+bx+c=0) we can factorise using the cross method.
To factorise, we need to find two numbers that add to 8 and multiply to 16
4 and 4 fit both conditions
Read across to get the factors.
Write the factors of the two polynomials next to each other and mark similar factors.
x+4 |
= |
(x+4)(1) |
x2+8x+16 |
= |
(x+4)(x+4) |
Combine the red terms and multiply to the black ones.
-
Question 6 of 6
Find the lowest common denominator (LCD) of
x, x+2 and x2-4
Incorrect
Loaded: 0%
Progress: 0%
0:00
The lowest common denominator (LCD) can also be referred to as the least common multiple (LCM).
First, decompose each term into its smallest factors.
x |
= |
x×1 |
x+2 |
= |
(x+2)×1 |
x2-4 |
= |
(x-2)(x+2) |
Write the factors of the two polynomials next to each other and mark similar factors.
x |
: |
x,1 |
x+2 |
: |
(x-2),1 |
x2-4 |
: |
(x-2),(x+2) |
Combine the red terms and multiply to the black ones.
LCD |
= |
(x-2)x(x+2) |
|
= |
x(x+2)(x-2) |