3 Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction E If p-1 is a factor of p4 + p² + p – k, the value of kis
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![**Dividing Polynomials Using Synthetic Division: Masi**
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**Question 3**
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If \( p - 1 \) is a factor of \( p^4 + p^2 + p - k \), the value of \( k \) is \( \_\_\_ \).
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This is a synthetic division question designed to help students understand how to find the value of \( k \) when a polynomial is divided by a binomial, in this case, \( p - 1 \). Students must identify the correct value of \( k \) so that \( p - 1 \) becomes a factor of the given polynomial \( p^4 + p^2 + p - k \).
To solve this, students typically need to perform polynomial division or use the Remainder and Factor Theorems. They might evaluate the polynomial at \( p = 1 \) and set the resulting expression equal to zero, solving for \( k \).
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