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please help Tragize towels to the correct boxes to complete the pairs. Match the pairs of values

Please Help Tragize Towels To The Correct Boxes To Complete The Pairs Match The Pairs Of Values class=

Sagot :

The results of the division of polynomials are given as follows:

  • h(x) = x + 3 for f(x) = x² - 9 and g(x) = x - 3.
  • h(x) = x + 4 for f(x) = x² - 16 and g(x) = x - 4.
  • h(x) = x - 1 for f(x) = x² - 4x + 3 and g(x) = x - 3.
  • h(x) = x + 5 for f(x) = x² + 4x - 5 and g(x) = x - 1.

What is the division of x² - 9 by x - 3?

Considering that x² - 9 is the subtraction of perfect squares, we have that:

x² - 9 = (x - 3)(x + 3)

Hence the division is:

h(x) = (x - 3)(x + 3)/(x - 3) = x + 3.

What is the division of x² - 16 by x - 4?

Considering that x² - 16 is the subtraction of perfect squares, we have that:

x² - 16 = (x - 4)(x + 4)

Hence the division is:

h(x) = (x - 4)(x + 4)/(x - 4) = x + 4.

What is the division of x² - 4x + 3 by x - 3?

Considering that the roots of x² - 4x + 3 are x = 1 and x = 3, we have that:

x² - 4x + 3 = (x - 1)(x - 3).

Hence the division is:

h(x) = (x - 1)(x - 3)/(x - 3) = x - 1.

What is the division of x² + 4x - 5 by x - 1?

Considering that the roots of x² + 4x - 5 are x = -5 and x = 1, we have that:

x² + 4x - 3 = (x + 5)(x - 1).

Hence the division is:

h(x) = (x + 5)(x - 1)/(x - 1) = x + 5.

More can be learned about division of polynomials at https://brainly.com/question/8433134

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