Intro to Completing the Square

Find the correct values for b and c in standard form, $x^2+bx\ +c$   , in the following by using the FOIL method:  $\left(x\ +\ 2\right)\left(x\ +\ 2\right)$  

•  $x^2+4x+4$  

•  $x^2+2x+4$  

•  $x^2+4$  

•  $x^2+2x+2$  

Tags

CCSS.HSA.APR.A.1

Find the correct values for b and c in standard form, $x^2+bx\ +c$   , in the following by using the FOIL method: $\left(x-3\right)\left(x-3\right)$  

•  $x^2-9$  

•  $x^2-6x+9$  

•  $2x-6$  

•  $x^2-3x+9$  

Tags

CCSS.HSA.APR.C.4

Find the correct values for b and c in standard form, $x^2+bx\ +c$   , in the following by using the FOIL method: $\left(x+4\right)^2$  

•  $x^2+8x+16$  

•  $x^2+16$  

•  $x^2+4x+16$  

•  $x^2+4x+8$  

Tags

CCSS.HSA.APR.C.4

FOIL  $\left(x+3\right)^2$  to find b, the coefficient of x, in the standard form equation  $x^2+bx+9$   .

• 3

• 5

• 9

• 6

Tags

CCSS.HSA.APR.C.5

FOIL $\left(x-5\right)^2$  to find b, the coefficient of x in the standard form equation  $x^2\ +\ bx\ +\ 25$  

• +10

• -10

• +25

• -5

Tags

CCSS.HSA.APR.C.5

The b value, the coefficient of x after FOILing, (ex: $\left(x^2+bx\ +c\right)$  )  is ______________ the constant inside the term being squared (ex:  $\left(x\ +\ \ldots\right)^2$  

• double

• half

• triple

• equal to

Tags

CCSS.HSA.APR.C.4

FOIL  $\left(x-6\right)^2$  to find c, the constant at the end, in the standard form equation  $x^2-12x\ +\ c$  .

• 3

• 12

• -6

• 36

Tags

CCSS.HSA.APR.C.5

FOIL  $\left(x+7\right)^2$  to find c, the constant at the end, in the standard form equation  $x^2+14x+c$ .

• 7

• 28

• 49

• -14

Tags

CCSS.HSA.APR.C.5

You can _____________ the constant inside the term with x being squared (ex:  $\left(x+\ldots\right)^2$  ) to find the value of c in the standard form equation  $x^{2\ }+bx+c$  

• keep the same

• square

• cut in half

• double

Tags

CCSS.HSA-REI.B.4B

What was squared to find the following standard form equation:  $x^2+12x+36$  

•  $\left(x+12\right)^2$  

•  $\left(x-6\right)^2$  

•  $\left(x+6\right)^2$  

•  $\left(x+3\right)^2$  

Tags

CCSS.HSA-REI.B.4B