TOPIC 4: Polynomials and Polynomial Equations 1. Solve by factoring

TOPIC 4: Polynomials and Polynomial Equations
2
1. Solve by factoring: 6x = 3x
2
2. Solve by factoring: 6x -6 = -5x
3. Factor: m3n2 – mn3 + m2n4
4. Find the polynomial, P, which completes the equation:
2
2
(2y-3)(3y + 1) -(2y-3) (y-1) =(2y-3)( P )
2
5. Solve: 2x - 2x = 5
2
6. Solve and graph on the number line: 2x + 11x > 21
2
7. Solve and graph on the number line: 6x < 3x
2
8. Complete the square, tell what must be added: 3x + 9x
9. Sketch the graph: y = -(x -1)(x + 3)
y
-5
5
x
-5
-5
5
2
10. Sketch the graph: y = (x -1) + 3
5
x
-5
5
-5
ANSWERS TOPIC 4: Polynomials and Polynomial Equations
1. x=0
or
x= ½
2. x = 2/3
2
2
or x = -3/2
2
3. mn (m - n + mn )
2
4. P = y +5y-2
5.
8.
x=
3
, add
9.
10.
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