algebra 2a - FINAL EXAM

which expressions are equivalent to (a^2 - 16)(a + 4)? select the three equivalent expressions.

(a + 4)^2 (a - 4) [(a)^2 − (4^2)](a + 4) (a − 4)(a + 4)(a + 4)

which polynomial identities are correct? select all that apply.

(a − b)(a + b) = a^2 − b^2 (a^2 + b^2)^2 = a^4 + 2a^2b^2 + b^4

which expression shows one way to rewrite x^4 - 64?

(x^2 + 8)(x^2 - 8)

what is the remainder of x^3 - 8x^2 + 20x - 16 is divided by x + 2?

-96

what are the zeros of the function f(x) = x^3 − 36x^2 + 35x? select all that apply.

0, 1, 35

what is the quotient of 12x^2-7x+8//3x+2?

4x - 5 + 18/3x+2

what is √-6 in the form a + bi?

XXX 0 + √6i

what is 3 + √-3 in the form a + bi?

XXX 3 + √3i

a ball is dropped from a height of 1,936 feet. Tte height of the ball, in feet, t seconds after it is dropped can be represented by the equation h(t) = −16t^2 + 1,936. which of the following represents the domain for the number of seconds the ball is in the air?

XXX all real numbers

the expression (3 + i)(1 + 2i) can be written in the form a + bi, where a and b are integers. what are the values of a and b?

a = 1 b = 7

part a: what are the zeros of h(x)? part b: select from the drop-down lists to correctly complete the sentences about h(x)? - as x increases without bound, h(x) ___ without bound - as x decreases without bound, h(x) ___ without bound.

a: 0, 3, -5 b: increases, decreases

part a: consider the function y = x^2 + 8x + 10. which equation represents an equivalent function? part b: consider the function represented by y = -4(x - 1)^2 + 3. the function has a ___ value at ____.

a: y = (x + 4)^2 - 6 b: maximum, (1, 3)

which graph represents the equation y = 2√x?

https://assets.learnosity.com/organisations/290/364d3fb1-106d-4127-aca8-91b6b992cfee.png

which graph shows y = f(x + 2)?

https://assets.learnosity.com/organisations/290/5c648993-f04e-448b-9ee8-662deb53fa15.png

which graph represents a function with a maximum value of 4?

https://dw6y82u65ww8h.cloudfront.net/organisations/290/414038718_c.svg

match the correct graph with each equation.

use mathway for the graphs.

what is the solution of 1/2√w+1 = 4?

w = 63

consider the function f(x) = 2x^3 − 9x^2 − 15x + 50 if f(2) = 0, which of the following must be a factor of f(x)?

x - 2

what is the solution of √2x-3 + 4 = 7?

x = 6

what are the solutions to the equation 0 = x^2 + 4x + 8?

x = −2 ± 2i

solve the equation 2x^3 = -20. select all solutions of the equation.

x = √10i x = -√10i