Learn how to find the value c that completes the square with a fraction, x^2 + 5x + c

Learn how to find the value c that completes the square with a fraction, x^2 + 5x + c

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the process of taking B/2 and squaring it, emphasizing the importance of keeping it as a fraction rather than converting to a decimal. The teacher encourages students to practice this skill in preparation for the next class, where more detailed explanations will be provided. An example calculation of 5/2 squared is demonstrated, resulting in 25/4. The tutorial concludes with an explanation of writing the expression in factored form as (X + 5/2)^2.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the process of completing the square as described in the video?

Subtract 2 from B

Add 2 to B

Divide B by 2

Multiply B by 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does the teacher emphasize leaving the result as a fraction?

Because 2 does not evenly divide into 5

Because decimals are not allowed in this exercise

Because fractions are more accurate

Because fractions are easier to calculate

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main purpose of practicing the B/2 squaring technique according to the teacher?

To memorize the formula

To improve calculation speed

To understand the concept better in the next class

To prepare for a test

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of squaring 5/2 as shown in the video?

10/4

15/4

25/4

20/4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression X^2 + 5X + 25/4 written in factored form?

(X + 2/5)^2

(X + 5/2)^2

(X + 5)^2

(X + 1/2)^2