Which expression is equivalent to 24x2 - 22x + 5?

Mathematics

1 answer:

enot [183]3 years ago

4 0

Answer:

Step-by-step explanation:

Given

24x² - 22x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 5 = 120 and sum = - 22

The factors are - 12 and - 10

Use these factors to split the x- term

24x² - 12x - 10x + 5 ( factor the first/second and third/fourth terms )

= 12x(2x - 1) + 5(2x - 1) ← factor out (2x - 1) from each term

= (12x - 5)(2x - 1) ← in factored form → C

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Set up a ratio comparing the sample portion to the whole portion.

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