Lesson 2 Adding Your Two Cents Develop Understanding

Ready

Multiply.

1.

$2 x (5 x + 7)$

2.

$9 x (- x - 3)$

3.

$5 x^{2} (x + 6)$

4.

$- x (x^{2} - x + 1)$

5.

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

6.

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

Set

Use the polynomials to find the specified sums and differences.

$f (x) = (3 x^{4} + 5 x^{2} - 1)$

$g (x) = (2 x^{3} + x)$

$h (x) = (- 6 x^{5} - 2 x + 13)$

$k (x) = (4 x^{5} + 3 x^{2} + x - 9)$

$m (x) = (x^{4} - 9)$

$p (x) = (x^{4} + 9)$

7.

$f (x) + g (x)$

8.

$f (x) - g (x)$

9.

$h (x) + k (x)$

10.

$h (x) - k (x)$

11.

$m (x) + p (x)$

12.

$m (x) - p (x)$

13.

$k (x) + p (x)$

14.

$f (x) - h (x)$

15.

$f (x) = x - 2$ :

$g (x) = x^{2} + 1$ :

Graph $f (x) + g (x)$ .

Go

For each table of values, identify whether it represents a function that is linear, exponential, quadratic, or unknown.

16.

$x$	$f (x)$
$0$	$- 11$
$1$	$- 5$
$2$	$3$
$3$	$13$
$4$	$25$

17.

$x$	$g (x)$
$- 2$	$- \frac{3}{2}$
$- 1$	$- 3$
$0$	$- 6$
$1$	$- 12$
$2$	$- 24$

18.

$x$	$h (x)$
$- 2$	$- 3$
$- 1$	$- 6$
$0$	$- 7$
$1$	$- 6$
$2$	$- 3$

19.

$x$	$k (x)$
$- 6$	$- 9$
$- 4$	$- 8$
$- 2$	$- 7$
$0$	$- 6$
$2$	$- 5$

20.

$x$	$m (x)$
$9$	$- 23$
$10$	$- 26$
$11$	$- 29$
$12$	$- 32$
$13$	$- 35$

21.

$x$	$p (x)$
$9$	$0$
$10$	$20$
$11$	$42$
$12$	$66$
$13$	$92$