How do you factor this trinomial 5x ² plus 6x plus 7?

Answer 1

That doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: (-3 plus or minus i times the square root of 26) divided by 5.

x = -0.6 + 1.0198039027185568i

x = -0.6 - 1.0198039027185568i

where i is the square root of negative one.

Answer 2

The answer depends on the order of the polynomial: that is the highest power of the variable.

On general, there is no simple way. You can try substituting positive and negative values of factors of the constant term for the variable.

If x = n results in f(x) = 0, that is, if f(n) = 0 then (x - n) is a factor of the polynomial.

You are then left with a polynomial of a smaller degree.

Answer 3

Use OCTAVE or other mathematical software. Or a Texas Instruments-85 (TI85) calculator can do it as well.

Answer 4

4x4-24x3+x2-12x+36

Answer 5

5(x - 2)