102 and 102
72 and 72
142 and 142
1. A polynomial function is a function that can be written in the form
f(x)=anxn +an−1xn−1 +an−2xn−2 +...+a2x2 +a1x+a0,
where each a0, a1, etc. represents a real number, and where n is a natural number Here are the steps required for Solving Polynomials by Factoring:
Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Example 1 – Solve: 3x3 = 12x
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Example 2 – Solve: x3 + 5x2 = 9x + 45
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Example 3 – Solve: 6x3 – 16x = 4x2
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Example 4 – Solve: 3x2(3x + 4) = 12x(x + 3)
Step 1: Write the equation in the correct form. In this case, we need to remove all parentheses by distributing and set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Example 5 – Solve: 16x4 = 49x2
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Answer:
Please read the answers below.
Step-by-step explanation:
1. Australia:
75 * 1.87 =140.25 Australian dollars
2. Brazil:
75 * 2.32 = 174 Reals
3. Britain:
75 * 0.69 = 51.75 Pounds
4. Canada:
75 * 1.60 = 120 Canadian dollars
5. China:
75 * 8.28 = 621 Yuan
6. Denmark:
75 * 8.43 = 632.25 Kroner
7. Japan:
75 * 131.55 = 9,866.25 Yen
8. Mexico:
75 * 9.19 = 689.25 Mexican pesos
9. South Africa:
75 * 11.9 = 892.50 Rands
10. Sweden:
75 * 10.61 = 795.75 Kronor
11. Switzerland:
75 * 1.68 = 126 Francs
12. Thailand:
75 * 44.18 = 3,313.50 Baht
Round to the next integer in all currencies.
Answer:2.9235
Step-by-step explanation:
Since 20 people are administered the medicine and;
11% of the 20 people suffer severe i.e 11% of 20 = 2.2 people
20% of them suffer moderate i.e
20% of 20 = 4 people and;
69% of the 20 people suffer minor side i.e
69% of 20 = 13.8 people
Therefore the probability 2, 4, and 14 people will suffer severe, moderate, or minor side effects, respectively will be;
2/2.2 + 4/4 + 14/13.8 (i.e possible outcome/total outcome)
This will give us 2.9235
