2. Is 9×2 + 12xy + 9y2 a perfect square trinomial?
A. Yes
B. No
3. Solve 3×2 – 2x = 4 by using the quadratic formula.
4. What is the value of the discriminant for the quadratic equation 2×2 – 3x + 1 = 0?
5. When 3x – x2 – 6 + 2x is factored completely, one of the factors is…
1.) y=x²+x-1 and y=x-1
x-1 = x²+x-1
0 = x²
x = 0
y = -1
2.) no (3x+3y)² = 9x²+18xy+9y²
3) use the quadratic formula (-b±√(b²-4ac))/2a in this case b = -2, a = 3, c = -4
4) discriminant is √(b²-4ac) in this case √9-4*1*2 = 1
5) -(x²-5x+6) = -((x-3)(x-2)) = (3-x)(x-2)
hope this helps
1.) y=x²+x-1 and y=x-1
x-1 = x²+x-1
0 = x²
x = 0
y = -1
2.) no (3x+3y)² = 9x²+18xy+9y²
3) use the quadratic formula (-b±√(b²-4ac))/2a in this case b = -2, a = 3, c = -4
4) discriminant is √(b²-4ac) in this case √9-4*1*2 = 1
5) -(x²-5x+6) = -((x-3)(x-2)) = (3-x)(x-2)
hope this helps
References :