   Chapter 4.CM, Problem 18CM

Chapter
Section
Textbook Problem

For Problems 15-20, factor each polynomial completely. 3 x 2 + 18 x − 48

To determine

To Find:

The factorized form of a polynomial 3x2+18x48.

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 3x2+18x48.

Factorized polynomial by splitting the middle term appropriately:

3x2+18x48=3(x2+6x16)=3{x2+(82)x16}=3{x2+

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