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Elodia [21]
3 years ago
5

Multiply the polynomials. (x + 4)(x^3 + 5x^2 + 19x) = _______

Mathematics
2 answers:
Ber [7]3 years ago
8 0
Here's the answer to that....✨✨✨✨

solmaris [256]3 years ago
5 0
Distribute this one
so lets start with the x variable
x*x^3
x*5x^2
x*19x
then lets go to 4
4*x^3
4*5x^2
4*19x
so the WHOLE answer is
x^4+4x^3+3x^3+20x^2+19x^2+76x
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PLEASE HELP AND SHOW ALL STEPS
Alja [10]

Combining the like terms, the simplified polynomials are given as follows:

a) 4x² - 14x + 17

b) -5x² - 20x + 8

<h3>How are polynomials simplified?</h3>

Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.

Item a:

4(x - 2)(x + 1) - 5(2x - 5)

Applying the distributive property:

4(x² - x - 2) - 10x + 25

4x² - 4x - 8 - 10x + 25

Combining the like terms:

4x² - 4x - 10x - 8 + 25

4x² - 14x + 17

Item b:

-5(x + 2)² + 28

-5(x² + 4x + 4) + 28

-5x² - 20x - 20 + 28

-5x² - 20x + 8

More can be learned about the simplification of polynomials at brainly.com/question/24450834

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