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Construct a table of solutions and then graph the…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100

Problem 68 Medium Difficulty

Evaluate each polynomial for $a=-2$ and $b=3 .$ See Example 4.
$$
-a^{3} b+a b-a-21
$$

Answer

-1

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Video Transcript

here we have a polynomial expression, and we're going to evaluate it for equals. Negative to and B equals three. And to evaluate it means to substitute those numbers in for A and B and then simplify. We have the opposite of negative to cubed times three plus negative two times three minus negative to minus 21. And it's really helpful to use the parentheses around the numbers that you're substituting in, especially if you have a lot of negatives. It'll help you keep track of your order of operations. Okay, the next thing I want to do in the first term, I want just Cube the negative, too. And that gives us negative eight. So we have the opposite of negative eight times three. And in the next term, all multiply these two numbers. We get negative six and then in the next term minus negative, too, is the same as plus two and then we still have the minus 21 on the end. Okay, going back to the beginning. Ah, the opposite of negative eight would be positive. Eight times three would be 24 plus negative six means minus six, and then we still have the plus two and the minus 21. So now we just need to add all this up. 24 minus six plus two and minus 21. And that gives us negative one.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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