Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Chapter 14.8, Problem 3CYU
To determine

To calculate: The factors of the trinomial x2+x+2 .

Expert Solution & Answer
Check Mark

Answer to Problem 3CYU

The factors of the trinomial x2+x+2 are 1±i72 .

Explanation of Solution

Given Information:

The trinomial expressionis x2+x+2 .

Formula Used:

Roots of a quadratic equation ax2+bx+c .

  f=b±b24ac2a .

Calculation:

The given trinomial is x2+x+2 .

Without fraction it is not possible to split x into two parts whose product is equal to the product of x2 and 2.

Find the factors of the trinomial x2+x+2 . Use the formula f=b±b24ac2a .

Here a=1,b=1,c=2 .

Substitute 1 for a , 1 for b and 7 for cin the formula f=b±b24ac2a .

  f=b±b24ac2a=1±124×1×22×1=1±72

Since, the roots of the trinomial x2+x+2 are imaginary. Thus, factors are also imaginary.

Use i=1 .

  f=b±b24ac2a=1±72=1±i72

Hence, the factors of the trinomial x2+x+2 are 1±i72 .

Chapter 14 Solutions

Pre-Algebra Student Edition

Ch. 14.1 - Prob. 4CYUCh. 14.1 - Prob. 5CYUCh. 14.1 - Prob. 6CYUCh. 14.1 - Prob. 7CYUCh. 14.1 - Prob. 8CYUCh. 14.1 - Prob. 9CYUCh. 14.1 - Prob. 10PPSCh. 14.1 - Prob. 11PPSCh. 14.1 - Prob. 12PPSCh. 14.1 - Prob. 13PPSCh. 14.1 - Prob. 14PPSCh. 14.1 - Prob. 15PPSCh. 14.1 - Prob. 16PPSCh. 14.1 - Prob. 17PPSCh. 14.1 - Prob. 18PPSCh. 14.1 - Prob. 19PPSCh. 14.1 - Prob. 20PPSCh. 14.1 - Prob. 21PPSCh. 14.1 - Prob. 22PPSCh. 14.1 - Prob. 23PPSCh. 14.1 - Prob. 24PPSCh. 14.1 - Prob. 25PPSCh. 14.1 - Prob. 26PPSCh. 14.1 - Prob. 27PPSCh. 14.1 - Prob. 28PPSCh. 14.1 - Prob. 29PPSCh. 14.1 - Prob. 30PPSCh. 14.1 - Prob. 31PPSCh. 14.1 - Prob. 32PPSCh. 14.1 - Prob. 33PPSCh. 14.1 - Prob. 34HPCh. 14.1 - Prob. 35HPCh. 14.1 - Prob. 36HPCh. 14.1 - Prob. 37HPCh. 14.2 - Prob. 1AGPCh. 14.2 - Prob. 1BGPCh. 14.2 - Prob. 2AGPCh. 14.2 - Prob. 2BGPCh. 14.2 - Prob. 3GPCh. 14.2 - Prob. 1CYUCh. 14.2 - Prob. 2CYUCh. 14.2 - Prob. 3CYUCh. 14.2 - Prob. 4CYUCh. 14.2 - Prob. 5CYUCh. 14.2 - Prob. 6PPSCh. 14.2 - Prob. 7PPSCh. 14.2 - Prob. 8PPSCh. 14.2 - Prob. 9PPSCh. 14.2 - Prob. 10PPSCh. 14.2 - Prob. 11PPSCh. 14.2 - Prob. 12PPSCh. 14.2 - Prob. 13PPSCh. 14.2 - Prob. 14PPSCh. 14.2 - Prob. 15PPSCh. 14.2 - Prob. 16PPSCh. 14.2 - Prob. 17PPSCh. 14.2 - Prob. 18HPCh. 14.2 - Prob. 19HPCh. 14.2 - Prob. 20HPCh. 14.2 - Prob. 21HPCh. 14.3 - Prob. 1AGPCh. 14.3 - Prob. 1BGPCh. 14.3 - Prob. 2GPCh. 14.3 - Prob. 3GPCh. 14.3 - Prob. 1CYUCh. 14.3 - Prob. 2CYUCh. 14.3 - Prob. 3CYUCh. 14.3 - Prob. 4CYUCh. 14.3 - Prob. 5CYUCh. 14.3 - Prob. 6PPSCh. 14.3 - Prob. 7PPSCh. 14.3 - Prob. 8PPSCh. 14.3 - Prob. 9PPSCh. 14.3 - Prob. 10PPSCh. 14.3 - Prob. 11PPSCh. 14.3 - Prob. 12PPSCh. 14.3 - Prob. 13PPSCh. 14.3 - Prob. 14PPSCh. 14.3 - Prob. 15HPCh. 14.3 - Prob. 16HPCh. 14.3 - Prob. 17HPCh. 14.4 - Prob. 1CYUCh. 14.4 - Prob. 2CYUCh. 14.4 - Prob. 3CYUCh. 14.4 - Prob. 4CYUCh. 14.4 - Prob. 5CYUCh. 14.4 - Prob. 6CYUCh. 14.4 - Prob. 7CYUCh. 14.4 - Prob. 8CYUCh. 14.4 - Prob. 9CYUCh. 14.4 - Prob. 10CYUCh. 14.4 - Prob. 11CYUCh. 14.4 - Prob. 12PPSCh. 14.4 - Prob. 13PPSCh. 14.4 - Prob. 14PPSCh. 14.4 - Prob. 15PPSCh. 14.4 - Prob. 16PPSCh. 14.4 - Prob. 17PPSCh. 14.4 - Prob. 18PPSCh. 14.4 - Prob. 19PPSCh. 14.4 - Prob. 20PPSCh. 14.4 - Prob. 21PPSCh. 14.4 - Prob. 22PPSCh. 14.4 - Prob. 23PPSCh. 14.4 - Prob. 24PPSCh. 14.4 - Prob. 25PPSCh. 14.4 - Prob. 26PPSCh. 14.4 - Prob. 27PPSCh. 14.4 - Prob. 28PPSCh. 14.4 - Prob. 29PPSCh. 14.4 - Prob. 30HPCh. 14.4 - Prob. 31HPCh. 14.4 - Prob. 32HPCh. 14.4 - Prob. 33HPCh. 14.4 - Prob. 34HPCh. 14.5 - Prob. 1AGPCh. 14.5 - Prob. 1BGPCh. 14.5 - Prob. 2AGPCh. 14.5 - Prob. 2BGPCh. 14.5 - Prob. 3GPCh. 14.5 - Prob. 1CYUCh. 14.5 - Prob. 2CYUCh. 14.5 - Prob. 3CYUCh. 14.5 - Prob. 4CYUCh. 14.5 - Prob. 5CYUCh. 14.5 - Prob. 6CYUCh. 14.5 - Prob. 7CYUCh. 14.5 - Prob. 8CYUCh. 14.5 - Prob. 9CYUCh. 14.5 - Prob. 10CYUCh. 14.5 - Prob. 11PPSCh. 14.5 - Prob. 12PPSCh. 14.5 - Prob. 13PPSCh. 14.5 - Prob. 14PPSCh. 14.5 - Prob. 15PPSCh. 14.5 - Prob. 16PPSCh. 14.5 - Prob. 17PPSCh. 14.5 - Prob. 18PPSCh. 14.5 - Prob. 19PPSCh. 14.5 - Prob. 20PPSCh. 14.5 - Prob. 21PPSCh. 14.5 - Prob. 22PPSCh. 14.5 - Prob. 23PPSCh. 14.5 - Prob. 24PPSCh. 14.5 - Prob. 25PPSCh. 14.5 - Prob. 26PPSCh. 14.5 - Prob. 27PPSCh. 14.5 - Prob. 28PPSCh. 14.5 - Prob. 29PPSCh. 14.5 - Prob. 30PPSCh. 14.5 - Prob. 31PPSCh. 14.5 - Prob. 32PPSCh. 14.5 - Prob. 33PPSCh. 14.5 - Prob. 34PPSCh. 14.5 - Prob. 35PPSCh. 14.5 - Prob. 36PPSCh. 14.5 - Prob. 37HPCh. 14.5 - Prob. 38HPCh. 14.5 - Prob. 39HPCh. 14.5 - Prob. 40HPCh. 14.6 - Prob. 1AGPCh. 14.6 - Prob. 1BGPCh. 14.6 - Prob. 2GPCh. 14.6 - Prob. 1CYUCh. 14.6 - Prob. 2CYUCh. 14.6 - Prob. 3CYUCh. 14.6 - Prob. 4CYUCh. 14.6 - Prob. 5CYUCh. 14.6 - Prob. 6CYUCh. 14.6 - Prob. 7CYUCh. 14.6 - Prob. 8CYUCh. 14.6 - Prob. 9CYUCh. 14.6 - Prob. 10CYUCh. 14.6 - Prob. 11CYUCh. 14.6 - Prob. 12CYUCh. 14.6 - Prob. 13PPSCh. 14.6 - Prob. 14PPSCh. 14.6 - Prob. 15PPSCh. 14.6 - Prob. 16PPSCh. 14.6 - Prob. 17PPSCh. 14.6 - Prob. 18PPSCh. 14.6 - Prob. 19PPSCh. 14.6 - Prob. 20PPSCh. 14.6 - Prob. 21PPSCh. 14.6 - Prob. 22PPSCh. 14.6 - Prob. 23HPCh. 14.6 - Prob. 24HPCh. 14.6 - Prob. 25HPCh. 14.6 - Prob. 26HPCh. 14.6 - Prob. 27HPCh. 14.7 - Prob. 1AGPCh. 14.7 - Prob. 1BGPCh. 14.7 - Prob. 1CGPCh. 14.7 - Prob. 1DGPCh. 14.7 - Prob. 2AGPCh. 14.7 - Prob. 2BGPCh. 14.7 - Prob. 3GPCh. 14.7 - Prob. 1CYUCh. 14.7 - Prob. 2CYUCh. 14.7 - Prob. 3CYUCh. 14.7 - Prob. 4CYUCh. 14.7 - Prob. 5CYUCh. 14.7 - Prob. 6CYUCh. 14.7 - Prob. 7CYUCh. 14.7 - Prob. 8PPSCh. 14.7 - Prob. 9PPSCh. 14.7 - Prob. 10PPSCh. 14.7 - Prob. 11PPSCh. 14.7 - Prob. 12PPSCh. 14.7 - Prob. 13PPSCh. 14.7 - Prob. 14PPSCh. 14.7 - Prob. 15PPSCh. 14.7 - Prob. 16HPCh. 14.7 - Prob. 17HPCh. 14.7 - Prob. 18HPCh. 14.7 - Prob. 19HPCh. 14.8 - Prob. 1AGPCh. 14.8 - Prob. 1BGPCh. 14.8 - Prob. 2AGPCh. 14.8 - Prob. 2BGPCh. 14.8 - Prob. 3GPCh. 14.8 - Prob. 1CYUCh. 14.8 - Prob. 2CYUCh. 14.8 - Prob. 3CYUCh. 14.8 - Prob. 4CYUCh. 14.8 - Prob. 5CYUCh. 14.8 - Prob. 6CYUCh. 14.8 - Prob. 7CYUCh. 14.8 - Prob. 8PPSCh. 14.8 - Prob. 9PPSCh. 14.8 - Prob. 10PPSCh. 14.8 - Prob. 11PPSCh. 14.8 - Prob. 12PPSCh. 14.8 - Prob. 13PPSCh. 14.8 - Prob. 14PPSCh. 14.8 - Prob. 15PPSCh. 14.8 - Prob. 16PPSCh. 14.8 - Prob. 17PPSCh. 14.8 - Prob. 18PPSCh. 14.8 - Prob. 19PPSCh. 14.8 - Prob. 20HPCh. 14.8 - Prob. 21HPCh. 14.8 - Prob. 22HPCh. 14.8 - Prob. 23HPCh. 14 - Prob. 1SGRCh. 14 - Prob. 2SGRCh. 14 - Prob. 3SGRCh. 14 - Prob. 4SGRCh. 14 - Prob. 5SGRCh. 14 - Prob. 6SGRCh. 14 - Prob. 7SGRCh. 14 - Prob. 8SGRCh. 14 - Prob. 9SGRCh. 14 - Prob. 10SGRCh. 14 - Prob. 11SGRCh. 14 - Prob. 12SGRCh. 14 - Prob. 13SGRCh. 14 - Prob. 14SGRCh. 14 - Prob. 15SGRCh. 14 - Prob. 16SGRCh. 14 - Prob. 17SGRCh. 14 - Prob. 18SGRCh. 14 - Prob. 19SGRCh. 14 - Prob. 20SGRCh. 14 - Prob. 21SGRCh. 14 - Prob. 22SGRCh. 14 - Prob. 23SGRCh. 14 - Prob. 24SGRCh. 14 - Prob. 25SGRCh. 14 - Prob. 26SGRCh. 14 - Prob. 27SGRCh. 14 - Prob. 28SGRCh. 14 - Prob. 29SGRCh. 14 - Prob. 30SGRCh. 14 - Prob. 31SGRCh. 14 - Prob. 32SGRCh. 14 - Prob. 33SGRCh. 14 - Prob. 34SGRCh. 14 - Prob. 35SGRCh. 14 - Prob. 36SGRCh. 14 - Prob. 37SGRCh. 14 - Prob. 38SGRCh. 14 - Prob. 39SGRCh. 14 - Prob. 40SGRCh. 14 - Prob. 41SGRCh. 14 - Prob. 42SGRCh. 14 - Prob. 43SGRCh. 14 - Prob. 44SGRCh. 14 - Prob. 45SGRCh. 14 - Prob. 46SGRCh. 14 - Prob. 47SGRCh. 14 - Prob. 48SGRCh. 14 - Prob. 49SGRCh. 14 - Prob. 50SGRCh. 14 - Prob. 51SGRCh. 14 - Prob. 52SGRCh. 14 - Prob. 53SGRCh. 14 - Prob. 54SGRCh. 14 - Prob. 55SGRCh. 14 - Prob. 56SGRCh. 14 - Prob. 1PTCh. 14 - Prob. 2PTCh. 14 - Prob. 3PTCh. 14 - Prob. 4PTCh. 14 - Prob. 5PTCh. 14 - Prob. 6PTCh. 14 - Prob. 7PTCh. 14 - Prob. 8PTCh. 14 - Prob. 9PTCh. 14 - Prob. 10PTCh. 14 - Prob. 11PTCh. 14 - Prob. 12PTCh. 14 - Prob. 13PTCh. 14 - Prob. 14PTCh. 14 - Prob. 15PTCh. 14 - Prob. 16PTCh. 14 - Prob. 17PTCh. 14 - Prob. 18PTCh. 14 - Prob. 19PTCh. 14 - Prob. 20PTCh. 14 - Prob. 21PTCh. 14 - Prob. 22PTCh. 14 - Prob. 23PTCh. 14 - Prob. 24PTCh. 14 - Prob. 25PTCh. 14 - Prob. 26PTCh. 14 - Prob. 27PTCh. 14 - Prob. 28PTCh. 14 - Prob. 29PTCh. 14 - Prob. 30PTCh. 14 - Prob. 31PTCh. 14 - Prob. 32PTCh. 14 - Prob. 33PTCh. 14 - Prob. 34PTCh. 14 - Prob. 35PTCh. 14 - Prob. 36PT
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