Semester 1 Exam Review Part 1

Find the zeros: y = x(x - 1)(x + 3)

• 0, 1, -3

• -3, 1

• -1, 3, 0

• -1, 3

Tags

CCSS.HSF-IF.C.7C

Find the zeroes of the function. State the multiplicity of each zero.

f(x) = (x-7)²(x+3)⁴

• -7 with multiplicity 2; 3 with multiplicity 4

• -7 with multiplicity 1; 3 with multiplicity 1

• 7 with multiplicity 2; -3 with multiplicity 4

• 7 with multiplicity 1; -3 with multiplicity 1

Tags

CCSS.HSF-IF.C.7C

Find all the zeroes of P(x) = x³-4x²-11x+30

• 2, -3, 5

• 5, 3 + 4i, 3 - 4i

• 6, 1+ sqrt(3), 1 - sqrt(3)

• 0, 4, 7

Write a polynomial with real coefficiencts in standard form that has the given roots: -6, 3, and -15i.

• x³+(3+15i)x²+(-18+15i)x-270i

• x⁴+12x³-8x²+10x+4

• x⁴+6x³+55x-214x+375

• x⁴+3x³+207x²+675x-4050

Use the graph of f(x) to determine the real solutions to f(x)=0.

• -10

• 2, 5

• 0, 7

• no real solution

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Find the root(s) of the function.

• x = 3
• x = {-3, -1, 2}
• x = {-3, 2}
• x = -1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

CCSS.HSA.REI.B.4

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

• i²

• a-bi

• a+bi

• $-a+bi$

Find the roots of the following polynomial
 $x^3+6x^2+x+6$  

•  $i,\pm6$  

•  $2,3,i$  

•  $-6\pm i$  

•  $6,\pm i$  

Which equation describes the transformation of shifting f(x)=x² two units right?

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

Tags

CCSS.HSF.BF.B.3

What are the transformations?
y=3(x-4)²?

• horz shift right 4, vert stretch by a factor of 3
• horz shift left 4, vert stretch by a factor of 3
• horz shift right 4, vert stretch by a factor of 1/3
• horz shift right 4, vert shift up 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5