Polynomials Zeros

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3

• 4

• 5

• 0

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

The degree of the polynomial determines the max number of roots.

• True

• False

Factor
x² -16x + 48

• (x - 12)(x - 4)

• (x + 6)(x - 8)

• (x + 12)(x - 4)

• (x -16)(x - 3)

Find zeros of 3x^3 - 27x

• x = -3 and 3

• x = -1, 0, 27

• x = -3, 0, 3

• x = -3, 1, 3

Find all zeros of f(x) = 2x^3 + x^2 - 2x - 1.

• x = -1/2, -1 , 1

• x = -3, -1 , 1

• x = -1, 1/2 , 1

• x = -1, 1 , 2

Which does not describe the zeros of a polynomial?

• Where a graph crosses the x-axis

• Also known as the roots

• Where x=0

• The solution when a factor is set equal to zero

Find all zeros of g(x) = x^4 - 5x^2 + 4.

• x = -4, -2 , 1, 2

• x = -2, -1 , 1, 2

• x = -1, 0 , 1, 4

• x = -1, 1 , 2, 4

Which zero will "bounce" off of/touch the x-axis for x(x - 1)²(x + 2)(x + 3)

• -1

• 1

• -2

• -3

If a polynomial has 2 factors, it will have 2 zeros (or 1 zero with a multiplicity of 2).

• True

• False