Question

split middle term and solve:-
• p(x)=3x^2-4x+6​

Answer 1

Answer:

HERE IS YOUR ANSWER:

Step-by-step explanation:

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -4x  its coefficient is  -4 .

The last term, "the constant", is  -6 

Step-1 : Multiply the coefficient of the first term by the constant   3 • -6 = -18 

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   -4 .

     -18   +   1   =   -17     -9   +   2   =   -7     -6   +   3   =   -3     -3   +   6   =   3     -2   +   9   =   7     -1   +   18   =   17

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer 2

Answer:

$3 {x}^{2} -4x + 6 \\ by \: \: the \: formula \\ x = \frac{ - b \frac{ + }{} \sqrt{d} }{2a} \\ where \: d \: is \\ d = {b}^{2} - 4ac \\ now \\ d = - 56 \\ so \: there \: no \: real \: zero \: exist$

hopefully this may help you