Adding and Subtracting
Simplify –6ab + 3ab – b
–3ab – b
Simplify 2x(x + 8)
2x2 + 16x
Multiply (y – 4)(y + 7)
y2 + 3y – 28
Factor x2 – 16x + 63
(x – 9)(x – 7)
Factor 2w2 + 13w + 15
(2w + 3)(w + 5)
Simplify (3x2 + 5) + (16x2 + 7)
19x2 + 12
Find the GCF of 4x3 + 24x
4x
Multiply (3x + 1)(5x – 3)
15x2 – 4x – 3
Factor q2 + 12q + 20
(q + 2)(q + 10)
Factor 3d2 + 20d + 12
(3d + 2)(d + 6)
Simplify (11n – 4) – (5n + 2)
6n - 6
Write the factored form of the polynomial 4t3 + 24t2 – 12t
4t(t2 + 6t – 3)
Multiply (x + 3)(x2 – 2x + 4)
x3 + x2 - 2x + 12
Factor a2 – 7a – 18
(a – 9)(a +2)
Factor 6r2 – 10r – 24
2(3r + 4)(r – 3)
3d2 + 8d – 2 – (6 + 2d2 – 7d)
d2 + 15d – 8
Classify this polynomial by degree and number of terms.
-3x2 + 8x - 5
Quadratic trinomial
Multiply (5x + 2)2
25x2 +20x + 4
Factor x2 + 5x – 14
(x + 7)(x – 2)
Factor 3x2 + 9x – 84
3(x + 7)(x – 4)
The fence around a quadrilateral-shaped pasture is (3a2 + 15a + 9) feet long. Three sides of the fence have the following lengths: 5a, 10a – 2, a2 – 7. What is the length of the fourth side of the fence?
2a2 +18 feet
Write the factored form of the polynomial
2x6y4 – 8x3y2 + 14x4
2x3(x3y4 – 4y2 + 7x)
Multiply (30x + 17)(30x – 17)
900x2 – 289
Factor k2 + 4k – 96
(k + 12)(k – 8)
Factor 24c2 + 96c + 90
6(2c + 5)(2c + 3)