Algebra 2 Review

Solve the equation by factoring:
x²-6x+8=0

• 2, 4
• -2, -4
• -2, 4
• 2, -4

Tags

CCSS.HSA-REI.B.4B

• x+7

• x+2

• X-10

• X-7

Tags

CCSS.HSA.APR.D.6

• 4x

• 21

• 2x-1

• 10x

Tags

CCSS.HSA.APR.D.6

(8p³-38p²-17p+43)÷(p-5)

• 8p²+2p-7, R 8

• 8p²+p-9, R 9

• 8p²+p-5, R 13

• 8p²+p-10, R 4

Tags

CCSS.HSA.APR.D.6

1.   Given polynomial  $P(x)=3x^3+2x^2-5x+2$ . Evaluate  $P(-2)$   and determine whether it is a zero of the polynomial. Check everything that applies.

•  $P\left(-2\right)=0$  

•  $P\left(-2\right)=-4$  

•  $P\left(-2\right)=4$  

• -2 is a zero

• -2 is not a zero

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Given $x^3-x^2-3x+3$ , write in factored form and find all real and complex zeros.

•  $\left(x+1\right)\left(x^2-3\right)$  ,  $x=-1,\ \pm\sqrt{3}$  

•  $\left(x-1\right)\left(x^2-3\right)$  ,  $x=1,\ \pm\sqrt{3}$  

•  $\left(x^2-1\right)\left(x-3\right)$  ,  $x=\pm1,\ 3$  

•  $\left(x^2-1\right)\left(x+3\right)$  ,  $x=\pm1,\ -3$  

If a+bi is a root of a polynomial, then _______ is also a root.

• $i^2$

• $a-bi$

• $a+bi$

• $-i^2$

Tags

CCSS.HSN.CN.C.7

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -2-5i is a root.

• $-2-5i$

• $-2+5i$

• $2+5i$

• $5i$

Tags

CCSS.HSN.CN.A.3

CCSS.HSN.CN.C.7

Write the simplest polynomial in standard form given the following zeros. x = -2, 1, 4

• $f(x)=(x+2)(x-1)(x-4)$

• $f(x)=x^3-3x^2-6x+8$

• $f(x)=x^3+8$

• $f(x)=x^3-3x^2+8$

Tags

CCSS.HSA.APR.B.3

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4