Remainder Theorem: when a polynomial <em>P(x) </em>is divided <em>by (x - a), </em>the remainder is <em>P(a).</em>
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Given expression:
In this case:
To know the reminder, we have to plug in the value of <em>z </em>in the polynomial:
Simplifying:
Answer: The remainder is 15.
Answer:
2/5x³ + 1/5x² + 1/5x
Step-by-step explanation:
You have to divide each term in the polynomial by the monomial.
(4x⁴ + 2x³ + 2x²)/10x
2/5x³ + 1/5x² + 1/5x
Answer:
-1
Step-by-step explanation:
Based on the ratio, 6 students play musical instruments.
The mentioned problem can be solved using the concept of ratio and proportion. We will equate the two ratio. Let us assume the number of students who play musical instruments be x.
Forming the equation -
3 : 20 = x : 40
Rewriting the equation with respect to x
x = (40 × 3) ÷ 20
Performing multiplication and division on Right Hand Side of the equation
x = 120 ÷ 20
Performing division on Right Hand Side of the equation
x = 6
Therefore, 6 students play musical instruments.
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The time that rocket will hit the ground, to the nearest 100th of second is 10.43 seconds
Given the equation representing the height reached by a rocket as:
The rocket will hit the ground when y = 0. Substituting y = 0 into the expression to get x;
On factorizing:
x = 10.43 seconds
Hence the time that rocket will hit the ground, to the nearest 100th of second is 10.43 seconds
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