Question

the trinomial 10x2 + 11x + 3 is prime?

Answer 1

can u factor 10x2 + 11x + 3

Answer 2

I dont get it.
How can a trinomial be a prime?

Answer 3

@siddhantsharan its like a true or false answer, i guess its false.

Answer 4

If u cannot factor it then it is prime

Answer 5

And Yes it is prime as it cannot be factored

Answer 6

\[10x^2 + 5x + 6x +3 = 5x(2x+1) + 3(2x+1)=(5x+3)(2x+1)\]

I guess what they are asking is whether it can ever YIELD a prime.

Answer 7

oh factors always confuse me i never seem to understand them. @sauravshakya & @siddhantsharan

Answer 8

In the sense for different value of x can the operation give a prime.
If thats the case then,
For a prime, one term must be 1.
=> Case 1. 2x + 1 = 1 => x = 0
In this case we get a three. Which is prime.
So I dunno. The question is a bit ambigous I guess. As only numbers can be primes or composites.
@sauravshakya It can be factored.

Answer 9

could you like help me how to factor something like this 4x2 + 24x + 11?

Answer 10

then it tells you which one of these is part of the factored answer. (2x + 1) (2x - 11) (2x + 6) prime.

Answer 11

Yeah. The trick is:
Check the product of the constant term and the coefficient of x^2.
Here it is 44.
Then think of such factors of 44 which add up to 24.
Here they are 2 and 22.
So now you write it as:
\[4x^2 + 2x+22x+11=2x(2x+1)+11(2x+1) = (2x+11)(x+1)\]

Answer 12

so for something like 9x2 - 18xy + 5y2 you look at 9x^2 first and get 81 then think of factors of 81? @siddhantsharan

Answer 13

Oh ya @siddhantsharan it can be factored... THUS,10x2 + 11x + 3 is not a prime

Answer 14

Because prime numbers cannot be factored

Answer 15

Here 10x2 + 11x + 3 is a number

Answer 16

And x is constant