Q. 363 In the following examples, facto... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 6: Q. 363 (page 635)

In the following examples, factor each trinomial of the form $x^{2} + b x y + c y^{2}$
$m^{2} - 5 m n + 30 n^{2}$

Short Answer

Expert verified

There are no factors for the polynomial $m^{2} - 5 m n + 30 n^{2}$ . And it is prime.

Step by step solution

Step 1. Given

The trinomial is $m^{2} - 5 m n + 30 n^{2}$

To find the factors of the trinomial.

Step 2. Write binomial with first term m and second term n

The binomial contains $m$ in the each term and $n$ in the second term.

The last term of the trinomial is positive, so the factors must have negative signs.

$m^{2} - 5 m n + 30 n^{2} = (m - n) (m - n)$

Step 3. Find numbers multiply to 30 and add to -5

Find the numbers multiply to $30$ and add to $- 5$

Factors of $30$	Sum of factors
$- 1, - 30$	$- 31$
$- 2, - 15$	$- 17$
$- 3, - 10$	$- 13$
$- 5, - 6$	$- 11$

Step 4. Find the factors

There is no factor that will multiply to $30$ and add to $- 5$ .

There are no factor pair that sum is $- 5$ .

So the trinomial is prime.

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91影视

In the following examples, factor each trinomial of the form $x^{2} + b x y + c y^{2}$
$m^{2} - 5 m n + 30 n^{2}$

Short Answer

Step by step solution

Step 1. Given

Step 2. Write binomial with first term m and second term n

Step 3. Find numbers multiply to 30 and add to -5

Step 4. Find the factors

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91影视

In the following examples, factor each trinomial of the form x2+bxy+cy2m2-5mn+30n2

Short Answer

Step by step solution

Step 1. Given

Step 2. Write binomial with first term m and second term n

Step 3. Find numbers multiply to 30 and add to -5

Step 4. Find the factors

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Applied Mathematics

Geometry

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following examples, factor each trinomial of the form $x^{2} + b x y + c y^{2}$
$m^{2} - 5 m n + 30 n^{2}$