Exam 5: Polynomials, Polynomial Functions, and Factoring

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers. - $42 x ^ { 8 } y ^ { 6 } z ^ { 2 } - 36 x ^ { 3 } y ^ { 4 } z ^ { 3 } - 36 x ^ { 5 } y ^ { 2 } z ^ { 4 }$

Subtract the polynomials. Assume all variable exponents represent whole numbers. - $\left( 7 x ^ { 6 } - 10 x ^ { 3 } - 2 \right) - \left( 3 x ^ { 6 } - 20 x ^ { 3 } - 17 \right)$

Evaluate the polynomial function. -If $f ( x ) = x ^ { 2 } - 9 x + 7$ , find $f ( a + h )$ .

Multiply using one of the rules for the square of a binomial. Assume any variable exponents represent whole numbers. - $\left( 10 x y ^ { 2 } + x y \right) ^ { 2 }$

Multiply the monomials. Assume any variable exponents represent whole numbers. - $\left( - 6 x ^ { 3 n } y ^ { n } + 2 \right) \left( \frac { 1 } { 12 } x ^ { n } y ^ { 7 } \right)$

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers. - $[ 2 y + ( 4 x + 5 ) ] [ 2 y - ( 4 x + 5 ) ]$

Given the polynomial functions, find the product function and the specified value. -Let $f ( x ) = x + 6$ and $g ( x ) = x - 11$ . Find $( f g ) ( x )$ and $( f g ) ( 2 )$ .

Subtract the polynomials. Assume all variable exponents represent whole numbers. - $\left( 4 x ^ { 4 } + 5 x y - y ^ { 3 } \right) - \left( x ^ { 4 } + 3 x y + 5 y ^ { 3 } \right)$

Multiply the monomials. Assume any variable exponents represent whole numbers. - $\left( 6 x ^ { 4 } \right) \left( 7 x ^ { 7 } \right)$

Find the indicated function value. -Find $f ( 0 )$ when $f ( x ) = x ^ { 2 } - 3 x - 1$

Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers. - $( x - 10 ) \left( x ^ { 2 } - 12 \right)$

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers. - $x ^ { 7 } - 9 x ^ { 2 }$

Subtract the polynomials. Assume all variable exponents represent whole numbers. - $\left( 9 x ^ { 6 } - 6 x ^ { 5 } + 15 x \right) - \left( 2 x ^ { 6 } + 12 x ^ { 5 } + 19 x \right)$

Use the graph to estimate the average number of minutes a woman exercised per week if her average monthly weight loss was 4.4 pounds. A) 115 min B) 120 min C) 135 min D) 127 min Answer: B Determine whether the graph shown is the graph of a polynomial function. -

Multiply using one of the rules for the square of a binomial. Assume any variable exponents represent whole numbers. - $( x + 8 ) ^ { 2 }$

Solve the problem. -Find the area of the rectangle by multiplying the length and the width of the large rectangle using the FOIL method.

Use the graph to estimate the average number of minutes a woman exercised per week if her average monthly weight loss was 4.4 pounds. A) 115 min B) 120 min C) 135 min D) 127 min Answer: B Determine whether the graph shown is the graph of a polynomial function. -

Multiply the monomial and the polynomial. Assume any variable exponents represent whole numbers. - $5 x ^ { 5 } \left( - 4 x ^ { 4 } + 7 x ^ { 2 } - 9 \right)$

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers. - $( 3 x - y + 4 z ) ( 3 x - y - 4 z )$

Find the product. Assume all variable exponents represent whole numbers. - $( x - 4 ) \left( x ^ { 2 } + 4 x + 16 \right)$