x2(4x – 1) + 2(4x – 1)
4x2(x + 2) – 1(x + 2)
4x2(x – 2) – 1(x – 2)
The way to determine the factors of the given polynomial is; x²(4x + 1) - 2(4x + 1)
We are given the polynomial;
4x³ + x² – 8x – 2
We can group the polynomial as follows;
(4x³ + x²) + (-8x - 2)
This grouping can be further factorized to get;
x²(4x + 1) + (-2)(4x + 1)
⇒ x²(4x + 1) - 2(4x + 1)
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(5a-b)(5a+8b)
Explain.
Joan's expression for the difference quotient is incorrect. The correct form is [f(π+h) - f(π)] / h, where f(x) = π, indicating the difference between two function values divided by h.
Joan's expression, f(π+h) - f(π) / h, is written incorrectly. The correct expression for the difference quotient for the function f(x) = π should be:
[f(π+h) - f(π)] / h
So, the correct expression is to subtract f(π) from f(π+h) and then divide the result by h. Joan made an error in the placement of the brackets, and the corrected expression accurately represents the difference quotient for this function.
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--The given question is incomplete, the complete question is given below " In the process oif finding the difference quoitent for the function f(x)=π,Joan writes f(π+h)-f(π)/h is it correct or incorrect"--