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Chapter 1: Q 1. (page 49)

To complete the square of x2+10x, you would (add/subtract) the number ______.

Short Answer

Expert verified

To complete the square of x2+10x, you would add the number 25.

Step by step solution

01

Step 1. Given information

Polynomial isx2+10x.

02

Step 2. Find the number to be added or subtracted.

For a perfect square trinomial in the form of ax2+bx+c, we can solve for cusing the formula c=b22

We have a=1,b=10

Therefore,

c=1022=52=25

Thus, the perfect square trinomial is x2+10x+25

Therefore, to complete the square of x2+10x, you would add the number 25.

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