There are four terms given below - Junior Cycle Mathematics - Question 10 - 2012
Question 10
There are four terms given below. Three of them have a common factor other than 1.
3xy
6ay
11ax
9y
Underline these three terms and write down the highest common fa... show full transcript
Worked Solution & Example Answer:There are four terms given below - Junior Cycle Mathematics - Question 10 - 2012
Step 1
Underline these three terms and write down the highest common factor of the three terms.
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Answer
The three terms that have a common factor are 3xy, 6ay, and 11ax. The highest common factor (HCF) of these terms is 3y.
Step 2
(i) 4x + 8y - 12;
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Answer
= 4(x + 2y - 3)
Step 3
(ii) ab - 2a + 3b - 6
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Answer
= a(b - 2) + 3(b - 2)
= (a + 3)(b - 2)
Step 4
(iii) x² + 5x + 6
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Answer
= (x + 3)(x + 2)
Step 5
(iv) b² - 16
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Answer
= (b - 4)(b + 4)
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