Quick Homework Help

# how to factor ax squared+ bx+c when a =1 ⚑ Flag

by lola036 at March 31, 2010

What are c and b equal to?

T058 April 01, 2010

well you need more information. this is a trinomial square and in order to simplify you need to know what b and c are equal too.

tori. April 01, 2010

The quadratic formula will always get you the two roots. From there, you can get the factored form if you remember that both factors are really equal to zero.Here is an example:x^2 + 2x - 8set the expression equal to zerox^2 +2x - 8 = 0pull out that quadratic formulaa = 1, b = 2, c = -8x = (-(2) ± √((2)^2 - 4(1)(-8))) / 2(1)x = (-2 + √36) / 2  OR  x = (-2 - √36) / 2x = 2                      OR  x = -4Now...take those two "solutions" and solve the equations for zero. I know it sounds weird, but trust me.x = 2  →  x - 2 = 0  →  one of the factors is (x - 2)x = -4  →  x + 4 = 0  →  the other factor is (x + 4)So...x^2 + 2x - 8 is equivalent to (x - 2)(x + 4)This was an "easier" example, but this method always works!

McMayer April 01, 2010