Chapter 6: Q 6.18 TI (page 575)

Factor $t^{2} + 14 t + 24$

Short Answer

Expert verified

The factored form is $(t + 12) (t + 2)$

Step by step solution

Given information

Given the polynomial $t^{2} + 14 t + 24$

Writing as parentheses

The polynomial can be written as $(t) (t)$ . Now creating the table

Factors of $24$	Sum of factors
$1, 24$	$1 + 24 = 25$
$2, 12$	$2 + 12 = 14$
$3, 8$	$3 + 8 = 11$

Use m,n as last terms of factors and form the factored polynomial

Here,

$m, n = 12, 2 m + n = 12 + 2 m + n = 14 m \times n = 12 \times 2 m \times n = 24$

Substitute the values and form the polynomial

The polynomial is $(t + 12) (t + 2)$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Factor $t^{2} + 14 t + 24$

Short Answer

Step by step solution

Given information

Writing as parentheses

Use m,n as last terms of factors and form the factored polynomial

Substitute the values and form the polynomial

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Discrete Mathematics

Calculus

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Factort2+14t+24

Short Answer

Step by step solution

Given information

Writing as parentheses

Use m,n as last terms of factors and form the factored polynomial

Substitute the values and form the polynomial

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Discrete Mathematics

Calculus

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Factor $t^{2} + 14 t + 24$