Question

6) (a) Identify linear, quadratic and cubic polynomials from the following polynomials: (i) h(x) = -3x + (1/2) (ii) p(x) = x3 – 3x + 6 (iii) r(x) = 3x3 + 4x2 + 5x – 7

6. (b) Find the remainder when p(x) = 4x3 – 12x2 + 14x – 3 is divided by g(x) = x – (1/2).

7. Plot the following points and check whether they are collinear or not: (i) (1, 3), (– 1, – 1), (– 2, – 3) (ii) (1, 1), (2, – 3), (– 1, – 2) (iii) (0, 0), (2, 2), (5, 5)

8. Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes. x -2 -1 0 1 3 y 8 7 -1.25 3 -1

9. Write the answer to each of the following questions: (i) What is the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane? (ii) What is the name of each part of the plane formed by these two lines? (iii) Write the name of the point where these two lines intersect

10. Locate the points (5, 0), (0, 5), (2, 5), (5, 2), (–3, 5), (–3, –5), (5, –3) and (6, 1) in the Cartesian plane.

Answer 1

Answer:

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