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As Maths help

Can you help me answer this question?

Given that (x-p)(2x^2+11x+15) = (x^2-9)(2x+q), for all values of x, find the values of the constants p and q.

Thanks
Reply 1
Avatar for B_9710
B_9710
18
You should recogonise that x^2-9 is the difference of 2 squares and can be written as (x-3)(x+3)
This would suggest that p=3 and that 2x^2+11x+15 can be split into 2 brackets - with one of the brackets being (x+3)
Reply 2
Avatar for isywiz
isywiz
OP
1
Original post by B_9710
You should recogonise that x^2-9 is the difference of 2 squares and can be written as (x-3)(x+3)
This would suggest that p=3 and that 2x^2+11x+15 can be split into 2 brackets - with one of the brackets being (x+3)


So would Q = 5???
Reply 3
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B_9710
18
Yes it would be.
Reply 4
Avatar for isywiz
isywiz
OP
1
Original post by B_9710
Yes it would be.


Thank you

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