Question 1. Simplify the following: what is the cube root of 256
Question 2. Rationalize the denominator: square root of 10/5
Question 3. Find the discriminant of the following: -4x+1+4x^2
Question 4. Find the discriminant of the following: 1+3x^2-11x
1. ∛256 = ∛[ 64 * 4 ] = ∛64 * ∛4 = 4∛4
2. √ [10 / 5 ] = √10 / √5 = √10 * √5 / [ √5 * √5 ] = √50 / 5
3. Rewrite as 4x^2 - 4x + 1 .....in the form ax^2 + bx + c.....the discriminant = b^2 - 4ac....so
(-4)^2 - 4(4)(1) = 16 - 16 = 0
4. Rewrite as 3x^2 -11x + 1......discriminant = (-1)^2 - 4(3)(1) = 121 - 12 = 109