I would like to know how to solve the following problems.

1. Factirise 4squreroot3x²+5x-2squreroot3

2. Find the values of a and b so that th epolynomial x³-ax²-13x+b has (x-1) and (x-3) as factors

3. Factorise using factor theorem x³-6x²+11x-6

Hi!

Here is the answer to your question.

 

 

 

Putting b = 12 + a in (2), we get

– 9a + 12 + a = 12

⇒ – 8a = 0

⇒ a = 0

When a = 0, we get

b = 12 + 0          (using (1))

⇒ b = 12

Thus, the values of a and b are 0 and 12 respectively.

 

We are happy to see the interest you are showing towards this section! Thank you for your response. However, due to a paucity of time we will not be able to immediately answer all your queries. Try to solve the remaining question. If you have any problem solving it, then get back to us we will be happy to help you.

 

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