Answer:
(x + 6)(x + 8)
Step-by-step explanation:
Multiply x^2 by 48.
48 * x^2 = [tex]48x^2[/tex]
Factor 48.
Find two factors which add to 14.
6 and 8.
Check
6 * 8 = 48
6 + 8 =14
Add x by 6
Add x by 8
Answer
(x + 6)(x + 8)
The factors of the given trinomial are (x+6) & (x+8)
If an algebraic expression has three non-zero terms or monomials, then it is called trinomial.
Example : [tex]x^{2} +x+1[/tex] , where [tex]x^{2} , x, 1[/tex] are three non-zero terms or monomials.
Given trinomial is [tex]x^{2} +14x+48[/tex]
First, we have to factorise 48 & find two factors whose addition is 14.
The factors are 6 & 8, since 6×8=48 & 6+8=14
Rewrite the terms : [tex]x^{2} +6x+8x+48[/tex]
Regroup terms into two proportional parts : [tex](x^{2} +6x)+(8x+48)[/tex]
Taking common from both parts : [tex]x(x+6)+8(x+6)[/tex]
Factor the expression : [tex](x+6)(x+8)[/tex]
∴ The factors are (x+6) & (x+8).
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