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Practice Solutions

Simplify. Then classify each expression.

$(7 x^{2} + 2 x - 4) - (7 x^{2} - 4)$
$7 x^{2} + 2 x - 4 - 7 x^{2} + 4 2 x linear monomial$

$(5 x^{2} - 3 x + 8) + (2 x^{2} - 15 x - 11)$
$7 x^{2} - 18 x - 3 quadratic trinomial$

$(x^{2} + 11 x - 5) - 4 (2 x - 3)$
$x^{2} + 11 x - 5 - 8 x + 12 x^{2} + 3 x + 7 quadratic trinomial$

$- x (4 x^{2} - 1) + (5 x^{2} - 16 x)$
$- 4 x^{3} + x + 5 x^{2} - 16 x - 4 x^{3} + 5 x^{2} - 15 x cubic trinomial$

$(x^{3} - 4 x + 3) + (6 x^{2} + 8 x + 7)$
$x^{3} + 6 x^{2} + 4 x + 10 cubic polynomial with 4 terms$

$3 x (x + 6) - (x^{2} + 6) - 3 x$
$3 x^{2} + 18 x - x^{2} - 6 - 3 x 2 x^{2} + 15 x - 6 quadratic trinomial$

Simplify.

$(11 x^{2} + 2) + x (3 - 11 x)$
$11 x^{2} + 2 + 3 x - 11 x^{2} 3 x + 2$

$9 (2 - x) + 8 (3 + 4 x)$
$18 - 9 x + 24 + 32 x 23 x + 42$

$(5 x - 4) (2 x + 9)$
$10 x^{2} + 45 x - 8 x - 36 10 x^{2} + 37 x - 36$

$(x + 5) (3 x^{2} + x - 4)$
$3 x^{3} + x^{2} - 4 x + 15 x^{2} + 5 x - 20 3 x^{3} + 16 x^{2} + x - 20$

$(4 x + 1) (x^{2} - 8)$
$4 x^{3} - 32 x + x^{2} - 8 4 x^{3} + x^{2} - 32 x - 8$

$(7 x - 2) (6 x^{2} + 5 x - 1)$
$42 x^{3} + 35 x^{2} - 7 x - 12 x^{2} - 10 x + 2 42 x^{3} + 23 x^{2} - 17 x + 2$