Lesson 14

Use the given information to write a quadratic expression in standard form.

• $a=k^2$
• $b=2k\boldcdot m$
• $c=m^2$

1. $k = 1, m = 3$
2. $k=2, m= 3$
3. $k=2, m=4$
4. $k = 3, m = 5$

In their math class, Priya and Tyler are asked to rewrite $(5x+2)(x-3)$ into standard form.

Use either of these methods or another method you prefer to rewrite these expressions into standard form.

1. $(2x+1)(2x-3)$
2. $(4x - 1)(\frac{1}{2}x - 3)$
3. $(3x-5)^2$
4. $(2x+1)^2$

For each question, find the value of $k$ and $m$ then determine the value of $m^2$.

1. • $k > 0$
   • $k^2 = 100$
   • $2km = 40$
2. • $k < 0$
   • $k^2 = 9$
   • $2km = 30$
3. • $k < 0$
   • $k^2 = 16$
   • $2km = \text{-}40$
4. • $k > 0$
   • $k^2 = 4$
   • $2km = \text{-}28$
5. • $k > 0$
   • $k^2 = 49$
   • $2km = 14$
6. • $k > 0$
   • $k^2 = 0.25$
   • $2km = 12$