   Chapter 4.CM, Problem 17CM

Chapter
Section
Textbook Problem

For Problems 15-20, factor each polynomial completely. 2 x 2 − 8 x + 6

To determine

To Find:

The factorized form of a polynomial 2x28x+6.

Explanation

Approach:

The quadratic polynomial can be simplified by the help of basic algebra. First, need to write the polynomial in standard form ax2+bx+c.

Factorize the polynomial by middle term splitting method where the coefficient of x is split into two numbers such that their product is equal to the product of the coefficient of x2 and the constant term.

Calculation:

The given expression is 2x28x+6.

Factorised polynomial by splitting the middle term appropriately:

2x28x+6=2x2(6+2)x+6=2x26x2x+6=2x(

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