Chapter 6: Q 87E (page 589)

In the following exercises, 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

The trinomial is prime. Hence there is no factors for the equation.

Step by step solution

Step 1. Given information

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

Step 2. Writing factors as two binomial with first term m and second term n.

The factors should be written as two binomials with first term m and second term n.

$(m n) (m n)$

The product of the two numbers is 30 ,and their sum is 5. Because the third term sign is negative, the sum seems to be a difference.

$\begin{matrix} Factors & 30 & 15 & 10 & 6 \\ 1 & 2 & 3 & 5 \\ Difference & 29 & 13 & 7 & 1 \end{matrix}$

There are no factors pair that sum is 5. The given trinomial is prime.

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In the following exercises, 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 information

Step 2. Writing factors as two binomial with first term m and second term n.

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In the following exercises, factor each trinomial of the formx2+bxy+cy2m2-5mn+30n2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Writing factors as two binomial with first term m and second term n.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Discrete Mathematics

Calculus

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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