Question

Which shows one way to determine the factors of x3 11x2 â€"" 3x â€"" 33 by grouping? x2(x 11) 3(x â€"" 11) x2(x â€"" 11) â€"" 3(x â€"" 11) x2(x 11) 3(x 11) x2(x 11) â€"" 3(x 11).

Answer 1

The correct option is d, which is x²(x + 11) - 3(x + 11).

Expression

In mathematics, an expression is defined as a set of numbers and mathematical operations that is formed according to rules which is dependent on the context.  

Factors

An algebraic expression or number that divides another number or expression without any remainder.

Question

Which shows one way to determine the factors of x³ + 11x² - 3x - 33 by grouping?

a.)  x²(x + 11) + 3(x - 11)

b.)  x²(x - 11) - 3(x - 11)

c.)  x²(x + 11) + 3(x + 11)

d.)  x²(x + 11) - 3(x + 11)

Solution

The equation $x^3+11x^2-3x-33$, can be solved in the following manner,

$x^3+11x^2-3x-33$

Taking common out,

$x^2(x+11)-3(x+11)$

Hence, the correct option is d, which is x²(x + 11) - 3(x + 11).

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