[tex]\bf{Answer:}[/tex]
[tex](x - 11)(x + 7)[/tex]
Step-by-step explanation:
To factorize the expression x² - 18x - 77, we need to find two numbers that multiply to give -77 and add up to -18.
The numbers that satisfy these conditions are -11 and 7.
Therefore, we can rewrite the expression as (x - 11)(x + 7).
So, the factored form of x² - 18x - 77 is (x - 11)(x + 7).
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Answers & Comments
[tex]\bf{Answer:}[/tex]
[tex](x - 11)(x + 7)[/tex]
Step-by-step explanation:
To factorize the expression x² - 18x - 77, we need to find two numbers that multiply to give -77 and add up to -18.
The numbers that satisfy these conditions are -11 and 7.
Therefore, we can rewrite the expression as (x - 11)(x + 7).
So, the factored form of x² - 18x - 77 is (x - 11)(x + 7).
Given :
[tex] = {x}^{2} - 18x - 77[/tex]
To do :
[tex]Factorise[/tex]
Solution Explanation :
[tex] = {x}^{2} - 18x - 77 \\ \\ = {x}^{2} - (11 + 8)x - 77 \\ \\ = {x}^{2} - 11x - 8x - 77 \\ \\ = x(x - 11) - 8(x + 11) \\ \\ = (x - 8)(x - 11)(x + 11)[/tex]