question

Which second degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2?

answer

f(x) = -x2 + 8x - 16

question

Which polynomial function f(x) has a leading coefficient of 1, roots -4, 2, and 9 with multiplicity 1, and root -5 with multiplicity 3?

answer

f(x) = (x + 5)(x + 5)(x + 5)(x + 4)(x - 2)(x - 9)

question

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1?

answer

f(x) = (x + 2i)(x + 3i)(x - 2i)(x - 3i)

question

If a polynomial function f(x) has roots -9 and 7 - i, what must be a factor of f(x)?

answer

(x - (7 + i))

question

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

answer

x - 1

question

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

answer

x + 6

question

Which polynomial function has a leading coefficient of 3 and roots -4, i, and 2, all with multiplicity 1?

answer

f(x) = 3(x + 4)(x - i)(x + i)(x - 2)

question

If a polynomial function f(x) has roots 4 - 13i and 5, what must be a factor of f(x)?

answer

(x - (4 + 13i))

question

If a polynomial function f(x) has roots 0, 4, and mc002-1.jpg, what must also be a root of f(x)?

answer

c

question

Which polynomial function could be represented by the graph below?

answer

f(x) = 3x2 - 18x + 24

question

What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.

answer

b

question

Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) - 6 = 0?

answer

u2 + 5u - 6 = 0 where u = (x + 2)

question

What are the solutions of the equation x4 - 5x2 - 14 = 0? Use factoring to solve.

answer

d

question

What are the solutions of the equation x4 + 95x2 - 500 = 0? Use factoring to solve.

answer

c

question

What substitution should be used to rewrite 4x12 - 5x6 - 14 = 0 as a quadratic equation?

answer

u = x6

question

Which equation is quadratic in form?

answer

7x6 + 36x3 + 5 = 0

question

What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) - 4 = 0 as a quadratic equation?

answer

u = (x + 5)

question

What are the solutions of the equation x4 + 6x2 + 5 = 0? Use u substitution to solve.

answer

c

question

What is the solution of the equation (x - 5)2 + 3(x - 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

answer

b

question

What are the solutions of the equation x4 - 9x2 + 8 = 0? Use u substitution to solve.

answer

b