Mastering Polynomials in Grade 10

Factor the polynomial: x^2 - 5x + 6.

• (x - 2)(x - 3)

• (x - 4)(x - 2)

• (x - 1)(x - 6)

• (x + 2)(x + 3)

Evaluate the polynomial expression: 3x^3 - 2x + 1 for x = 2.

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• 21

• 25

• 19

Graph the polynomial function: f(x) = x^3 - 3x.

• The graph does not pass through the origin and has no real roots.

• The function has a local maximum at (1, 2) and a local minimum at (-1, -2).

• The graph of f(x) = x^3 - 3x is a straight line with no local extrema.

• The graph of f(x) = x^3 - 3x is a cubic curve with local maximum at (-1, 2) and local minimum at (1, -2), passing through the origin.

Find the zeroes of the polynomial: x^2 + 4x + 4.

• 0

• -1

• -2

• -3

If α and β are the roots of the polynomial x^2 - 7x + 10, find α + β.

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• 3

Factor the polynomial: 2x^2 - 8.

• (x - 2)(2x + 4)

• 2(x - 4)(x + 4)

• 2(x^2 - 4)

• 2(x - 2)(x + 2)

Evaluate the polynomial expression: 4x^2 - 3x + 2 for x = -1.

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• 11

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• 9

Graph the polynomial function: f(x) = -x^2 + 4.

• The graph of the function f(x) = -x^2 + 4 is a downward-opening parabola with vertex at (0, 4) and x-intercepts at (-2, 0) and (2, 0).

• The graph is a straight line with no vertex.

• The x-intercepts are at (-1, 0) and (1, 0).

• The graph is an upward-opening parabola with vertex at (0, -4).

Find the zeroes of the polynomial: x^2 - 9.

• x = 3, x = -3

• x = 2

• x = 0

• x = -2

If α and β are the roots of the polynomial x^2 + 5x + 6, find αβ.

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