Respuesta :
x³ - 9x² + 5x - 45
x²(x - 9) - 5(x - 9) ⇒ x³ - 9x² - 5x + 45 INCORRECT
x²(x + 9) - 5(x + 9) ⇒ x³ + 9x² - 5x - 45 INCORRECT
x(x² + 5) - 9(x² + 5) ⇒ x³ + 5x - 9x² - 45 CORRECT
It just needs to be rearranged.
x(x² - 5) - 9(x² - 5) ⇒ x³ - 5x - 9x² + 45 INCORRECT
x²(x - 9) - 5(x - 9) ⇒ x³ - 9x² - 5x + 45 INCORRECT
x²(x + 9) - 5(x + 9) ⇒ x³ + 9x² - 5x - 45 INCORRECT
x(x² + 5) - 9(x² + 5) ⇒ x³ + 5x - 9x² - 45 CORRECT
It just needs to be rearranged.
x(x² - 5) - 9(x² - 5) ⇒ x³ - 5x - 9x² + 45 INCORRECT
The answer choice which shows a way to determine the factors by grouping is; x(x² + 5) – 9(x² + 5).
Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?
According to the task content, the factors of the expression are to be determined by grouping.
On this note, one way to group the factors would be;
x³ + 5x - 9x² -45
Upon factorisation;
x(x² + 5) – 9(x² + 5).
Read more on factorisation by grouping;
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