/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 356 In the following exercises, fact... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 356 (page 634)

In the following exercises, factor each trinomial of the form x2+bx+c

k2鈭�16k+60

Short Answer

Expert verified

The factored form of the polynomial is,

k鈭�10k-6

Step by step solution

01

Step 1. Given Information 

We are given a polynomial,

k2鈭�16k+60

02

Step 2. Factorizing the polynomial

Using the product of acmethod in factorizing the polynomial of form ax2+bx+c, we get

10脳6=6010+6=16

So, Splitting the middle term,

k2鈭�16k+60=k2鈭�10k-6k+60

Grouping terms, we get

k2鈭�16k+60=k2鈭�10k-6k-60

Factoring out GCF from groups, we get

k2鈭�16k+60=kk鈭�10-6k-10

Again, factoring out GCF, we get

k2鈭�16k+60=k鈭�10k-6

03

Step 3. Checking the factorization

Multiplying the factors,

k鈭�10k-6=k2鈭�16k+60kk-6-10k-6=k2鈭�16k+60k2鈭�6k-10k+60=k2鈭�16k+60k2鈭�16k+60=k2鈭�16k+60LHS=RHS

Hence the factorization is correct.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Factort2+14t+24

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
8y3-125z3

In the following exercises, factor each trinomial of the formx2+bx+c.

u2+101u+100

In the following exercises, factor each trinomial of the formx2+bx+c.

a2+25a+100

In the following exercises, factor completely.

125-8y3
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.