Q14 of 30 Page 1

Find the zeroes of the following polynomial:

given polynomial is


5√5x2 + 30x + 8√5


Now factorizing by splitting the middle term.


Now we need to find two numbers whose sum is 30 and


Product is 5√5 × 8√5 = 5 × 8 × √5 × √5 = 40 × 5 = 200


So, the above given polynomial is


5√5x2 + 20x + 10x + 8√5


= 5√5x2 + 20x + (5 × 2) x + 8√5


= 5√5x2 + 20x + (√5 × √5 × 2) x + 8√5


= 5x (√5x + 4) + 2√5(√5x + 4)


= (5x + 2√5) (√5x + 4)


So, the zeroes of the polynomial will be


5x + 2√5 = 0 and √5x + 4 = 0


⇒ 5x = – 2√5 and √5x = – 4





Hence the zeroes of the given polynomial are and .


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