BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.4, Problem 20E
To determine

To calculate: The rational form of expression, y23y182y2+5y+3

Expert Solution

Answer to Problem 20E

The simplified form of the given expression is,

  (y6)(y+3)(2y+3)(y+1)

Explanation of Solution

Given information:

The given expression is as, y23y182y2+5y+3

Formula used:

For the algebraic expression the middle term factorization is as, x2xc

These are the steps to do this ,

Step 1.multiply the coefficient of x2 and the constant c .

Step 2. Then do factor of that number by doing multiplication or division or subtraction or addition got the coefficient of middle term that means x .

Step 3. Then to take common form first to numbers and then from other two numbers.

Step 4. Got four factors in that two pairs are same and another two are same.

Step 5. Get the final two factors.

Calculation :

Consider the expression, y23y182y2+5y+3

Rewrite the numerator in the form of middle term factorization,

  y23y182y2+5y+3=y2(6y3y)182y2+(2y+3y)+3=y26y+3y182y2+2y+3y+3=y(y6)+3(x6)2y(y+1)+3(y+1)=(y+3)(y6)(2y+3)(y+1)

Rewrite the expression, y23y182y2+5y+3=(y6)(y+3)(2y+3)(y+1)

The above expression can’t be simplified further. (y6)(y+3)(2y+3)(y+1)

Thus the simplified form of the expression is .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!