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QveST [7]
3 years ago
11

Factor the expressions.Step by step please. x^(2)+34x+120

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

(x+4)(x+30)

Step-by-step explanation:

when the equation is x^2+bx+c=0

-b is the sum of the zeroes and c the product

so -34=-30-4 is the sum of the zeroes

120=30*4 is the product

so x^2+34x+120=x^2+30x+4x+120=x(x+30)+4(x+30)=(x+4)(x+30)

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One factor of f (x ) = 5 x cubed + 5 x squared minus 170 x + 280 is (x + 7). What are all the roots of the function? Use the Rem
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The roots of the function f(x) = 5x³ + 5x² - 170x + 280 are given by x = 4, x = 2 or x = -7

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that x + 7 is the root of 5x³ + 5x² - 170x + 280, hence:

(5x³ + 5x² - 170x + 280) / (x + 7) = 5x² - 30x - 40

Hence:

(5x³ + 5x² - 170x + 280) = (x + 7)(5x² - 30x - 40)

= 5(x² - 6x - 8)(x + 7)

= 5(x - 4)(x - 2)(x + 7)

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0 = 5(x - 4)(x - 2)(x + 7)

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The roots of 5x³ + 5x² - 170x + 280 are x = 4, x = 2 or x = -7

Find out more on equation at: brainly.com/question/1214333

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