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Factorise x2+19x+90
What is the answer


Sagot :

Answer:

( x + 9 ) ( x + 10 )

Step-by-step explanation:

x² + 19x + 90

= x² + 9x + 10x + 90

= x ( x + 9 ) + 10 ( x + 9 )

= ( x + 9 ) ( x + 10 )

Hence factorised.

The factorized expression is: [tex](x + 10)(x + 9)[/tex]

The quadratic expression is given as:

[tex]x^2 + 19x + 90[/tex]

Express 19x as 9x + 10x

[tex]x^2 + 9x + 10x + 90[/tex]

Factorize the expression

[tex]x(x + 9) + 10(x + 9)[/tex]

Factor out x + 9

[tex](x + 10)(x + 9)[/tex]

Hence, the factorized expression is: [tex](x + 10)(x + 9)[/tex]

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