Topic 3 Unit Test 02: Polynomial Functions (ATA Unit 5)

3

Simplify the expression below by adding these two polynomials. Give your answer in standard form (decreasing order of the exponent with the first alphapatic base variable)

3

Simplify the expression below by multiplying these binomials. Give your answer in standard form (decreasing order of the exponent with the first alphabatical base variable). HINT: Distribute!

3

Simplify the expression below by dividing this binomial by the monomial. Give your answer in standard form (decreasing order of the exponent with the first alphabetic base variable). HINT: Distribute division across addition and subtraction.

1

If an even-degree polynomial function has a positive leading coeficient, which graph could represent this function. HINT: A parabola is an even-degree polynomial.

Below is the graph of the function f(x)=x^{3}+12x^2+45x+50 . Use these to answer questions 5 to 9 on the right:

1

Domain:

1

Range:

1

Relative Mininum:(s)

1

Relative Maximum(s)

2

Zeros (HINT: These are the x-intercepts and should be written as x={ , })

Select 2 of the following 4 questions from #10 to 13. 

Factor the polynomial completely. (HINT: Your answers should be like: 3x\left(x^2-2\right)\left(x+3\right)

3

50x^{3}-18x

3

14x^{3}-49x^{2}+21x
HINT: GFC first!

3

x^{3}-5x^{2}-x+5. HINT: Factor by grouping.

3

x^{4}+216x (there are at 3 real factors). HINT: take out the GCF first!

Solve 1 of the next 3,( in questions 14 to 16) equations by factoring.HINT: Your answer should be x={    ,    ,  }.  *** You can use ( , ) if you can't find curly brackets.

4

Hint: -25x-4=100 and
(-25)+(-4)=-29

3

3x^{3}+4x^{2}=12x+16

4

90x^{3}=10x, HINT: There are 3 zeros.

3

Find the Quotient of \left(w^3+3w^2-31w-26\right)\div \left(w+7\right), HINT: Don't forget the remainder is a fraction....

3

OPTIONAL: Find the quotient of
\left(5y^4-23y^3+24y^2-7\right)\div \left(y-3\right)

For questions 19 to 24. Select  a minimum of 3 of the 5 questions to do.
Use 
f(x)=x-3,
g(x)=9-2x, and
h(x)=x^{2}+6 

2

Find(f+h)(x). HINT: The answer will have 3 terms, two of them have x

2

Find \left(g\cdot f\right)\left(x\right)

3

Find \left(g\circ f\right)\left(x\right)

3

Evalulate (h-f)(4)

3

Evaluate (g \circ h)(-1)

3

Simplify the expression below by adding these two polynomials. Give your answer in standard form (decreasing order of the exponent with the first alphapatic base variable)

Simplify the expression below by multiplying these binomials. Give your answer in standard form (decreasing order of the exponent with the first alphabatical base variable). HINT: Distribute!

Simplify the expression below by dividing this binomial by the monomial. Give your answer in standard form (decreasing order of the exponent with the first alphabetic base variable). HINT: Distribute division across addition and subtraction.

If an even-degree polynomial function has a positive leading coeficient, which graph could represent this function. HINT: A parabola is an even-degree polynomial.

Domain:

Range:

Relative Mininum:(s)

Relative Maximum(s)

Zeros (HINT: These are the x-intercepts and should be written as x={ , })

50x^{3}-18x

14x^{3}-49x^{2}+21xHINT: GFC first!

x^{3}-5x^{2}-x+5. HINT: Factor by grouping.

x^{4}+216x (there are at 3 real factors). HINT: take out the GCF first!

Hint: -25x-4=100 and (-25)+(-4)=-29

3x^{3}+4x^{2}=12x+16

90x^{3}=10x, HINT: There are 3 zeros.

Find the Quotient of \left(w^3+3w^2-31w-26\right)\div \left(w+7\right), HINT: Don't forget the remainder is a fraction....

OPTIONAL: Find the quotient of \left(5y^4-23y^3+24y^2-7\right)\div \left(y-3\right)

Find(f+h)(x). HINT: The answer will have 3 terms, two of them have x

Find \left(g\cdot f\right)\left(x\right)

Find \left(g\circ f\right)\left(x\right)

Evalulate (h-f)(4)

Evaluate (g \circ h)(-1)

(h \circ f)(x)

14x^{3}-49x^{2}+21x
HINT: GFC first!

Hint: -25x-4=100 and
(-25)+(-4)=-29

OPTIONAL: Find the quotient of
\left(5y^4-23y^3+24y^2-7\right)\div \left(y-3\right)