Question 5 9:53:29 If f(x) = f1(x) · f2(x) is a polynomial, and if f2(x) when divided by f3(x) gives a remainder r(x), prove that the remainder when dividing f(x) by f1(x) · f3(x) is fi (æ) · r(x).

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Q: Four times the sum of a number and 15 is at least 120. Let x represent the number. Find all possible…

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Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: Given the equation of the hyperbola : 3x2-2y2+6x-8y=6.

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A: GIVEN The product of a number and five is less than or equal to the number minus four

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Q: The annual state budget for New York is 177.0 billion with a population of 19.5 million residents.…

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Q: You are designing a fenced-in area in your yard. You have a maximum 50 meters north-south where you…

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Q: Please solve and show all steps for all multiple parts.

A: Step 1: Step 2: Step 3: Step 4:

Q: Find two numbers whose sum is 10, and the sum of whose square is minimum.

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Q: Write the sum of the two terms T24,5 + T24,6 in a single term.

A: This question from pascals triangle. Lets solve the question

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.