question

Which polynomial function has a leading coefficient of 1 and roots (7 + i) and (5 - i) with multiplicity 1?
f(x) = (x + 7)(x - i)(x + 5)(x + i)
f(x) = (x - 7)(x - i)(x - 5)(x + i)
f(x) = (x - (7 - i))(x - (5 + i))(x - (7 + i))(x - (5 - i))
f(x) = (x + (7 - i))(x + (5 + i))(x + (7 + i))(x + (5 - i))

answer

C) f(x) = (x - (7 - i))(x - (5 + i))(x - (7 + i))(x - (5 - i))

question

If a polynomial function f(x) has roots -8, 1, and 6i, what must also be a root of f(x)?
-6
-6i
6 - i
6

answer

B) -6i

question

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

answer

Not, B) (x - (13 + 4i))

question

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
mc017-1.jpg
x - 3
x - 1
x + 1
x + 3

answer

B) x - 1

question

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

answer

Not, C) (x + (7 + i))

question

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1?
f(x) = (x - 2i)(x - 3i)
f(x) = (x + 2i)(x + 3i)
f(x) = (x - 2)(x - 3)(x - 2i)(x - 3i)
f(x) = (x + 2i)(x + 3i)(x - 2i)(x - 3i)

answer

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

question

If a polynomial function f(x) has roots 3 and mc001-1.jpg, what must also be a root of f(x)?
mc001-2.jpg
mc001-3.jpg
-3
3i

answer

A) mc001-2.jpg) -root7

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?
f(x) = 3(x + 5)(x + 4)(x - 2)(x - 9)
f(x) = 3(x - 5)(x - 4)(x + 2)(x + 9)
f(x) = (x + 5)(x + 5)(x + 5)(x + 4)(x - 2)(x - 9)
f(x) = (x - 5)(x - 5)(x - 5)(x - 4)(x + 2)(x + 9)

answer

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

question

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
mc016-1.jpg
x - 3
x - 1
x + 1
x + 3

answer

Not, D) x + 3

question

Which second degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2?
f(x) = -x2 - 8x - 16
f(x) = -x2 + 8x - 16
f(x) = -x2 - 8x + 16
f(x) = -x2 + 8x + 16

answer

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

question

Which polynomial function has a leading coefficient of 3 and roots -4, i, and 2, all with multiplicity 1?
f(x) = 3(x + 4)(x - i)(x - 2)
f(x) = (x - 3)(x + 4)(x - i)(x - 2)
f(x) = (x - 3)(x + 4)(x - i)(x + i)(x - 2)
f(x) = 3(x + 4)(x - i)(x + i)(x - 2)

answer

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

question

Which polynomial function could be represented by the graph below?
mc021-1.jpg
f(x) = x3 + x2 - 6x
f(x) = x3 - x2 - 6x
f(x) = -2x3 - 2x2 + 12x
f(x) = -2x3 + 2x2 + 12x

answer

C) f(x) = -2x3 - 2x2 + 12x

question

If a polynomial function f(x) has roots 0, 4, and mc002-1.jpg, what must also be a root of f(x)?
mc002-2.jpg
mc002-3.jpg
mc002-4.jpg
mc002-5.jpg

answer

C) mc002-4.jpg) 3-root11

question

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
mc018-1.jpg
x - 6
x - 3
x + 1
x + 6

answer

Not, A) x - 6