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Factor completely 5x2 − 5x − 100.

User Alexpanter
by
3.2k points

2 Answers

6 votes

Answer:

5(x - 5)(x + 4)

Explanation:

Given

5x² - 5x - 100 ← factor out 5 from each term

= 5(x² - x - 20) ← factor the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 1)

The factors are - 5 and + 4, since

- 5 × 4 = - 20 and - 5 + 4 = - 1, then

x² - x - 20 = (x - 5)(x + 4) and

5x² - 5x - 100 = 5(x - 5)(x + 4)

User James Berkenbile
by
3.4k points
10 votes

Answer:

Explanation:

here you go mate

step 1

5x2 − 5x − 100 equation

step 2

5x2 − 5x − 100 factor

5x^2 - 5x - 100 = 5

answer

5(x+4)(x-5)

User Gyroscope
by
3.1k points