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4w^2-21w+20 factor the quadratic expression

2 Answers

3 votes

Answer:


(4w-5)(w-4)

Explanation:


4w^(2)-21w+20\\ 4w^(2)-5w-16w+20\\ w(4w-5)-16w+20\\w(4w-5)-4(4w-5)\\(4w-5)(w-4)

User Hengjie
by
4.9k points
1 vote

Answer:

(4w - 5) (w - 4)

Explanation:

4w² - 21w + 20

We will look two numbers that when we add will give is -21 and when we multiply will give us 20 × 4= 80 and these numbers are -16 and -5.

4w² - 16w - 5w + 20

4w(w - 4) - 5(w - 4)

(4w - 5) (w - 4)

User Burt
by
4.3k points