6.1.5 Reviewing Polynomial Addition and Subtraction

Algebra 16.1.5 Reviewing Polynomial Addition and Subtraction

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Draw a tic-tac-toe board on an extra sheet of paper. Use the polynomial functions shown here for the activity.

$f (x) = 8 x^{2} - 6 x - 2$

$h (x) = 6 x^{2} - 4 x - 1$

For each polynomial problem below, place an $X$ on your tic-tac-toe board corresponding to the location of its matching solution.

$16 x^{2} - 9 x^{2} =$ ________

$(9 x^{2} - 5 x - 3) + (2 x^{2} + 8 x - 3) =$ ________

$f (5) - h (- 2) =$ ________

$(7 x^{2} - 3 x + 7) - (3 x^{2} + 6 x - 4) =$ ________

$f (4) =$ ________

For each polynomial problem below, place an $O$ on your tic-tac-toe board corresponding to the location of its matching solution.

$11 x^{3} + 12 x^{3} =$ ________

$f (x) - h (x) =$ ________

$f (x) + h (x) =$ ________

$h (- 3) =$ ________

A tic-tac-toe boardtop row from left to right: 7-x-squared, 14-x-squared-minus-10-x-minus-3, 11-x-squared-plus-3-x-minus-6second row from left to right: 2-x-squared-minus-2-x-minus-1, 23-x-cubed, one hundred thirty-sevenbottom row from left to right: 65, one hundred two, 4-x-squared-minus-9-x-plus-11.

Did the $X s$ or $O s$ win the tic-tac-toe game?

Compare your answer:

The $X s$ won the game.

A tic-tac-toe boardtop row from left to right: 7-x-squared, 14-x-squared-minus-10-x-minus-3, 11-x-squared-plus-3-x-minus-6, with x, o, xsecond row from left to right: 2-x-squared-minus-2-x-minus-1, 23-x-cubed, one hundred thirty-seven, with o, o, xbottom row from left to right: 65, one hundred two, 4-x-squared-minus-9-x-plus-11, with 0, x, x

Xs:

$16 x^{2} - 9 x^{2} = 7 x^{2}$

$(9 x^{2} - 5 x - 3) + (2 x^{2} + 8 x - 3) = 11 x^{2} + 3 x - 6$

$f (5) - h (- 2) = 137$

$f (4) = 102$

$(7 x^{2} - 3 x + 7) - (3 x^{2} + 6 x - 4) = 4 x^{2} - 9 x + 11$ <\p>

Os:

$11 x^{3} + 12 x^{3} = 23 x^{3}$

$f (x) - h (x) = 2 x^{2} - 2 x - 1$

$f (x) + h (x) = 14 x^{2} - 10 x - 3$

$h (- 3) = 65$

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