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Yuliya22 [10]
3 years ago
10

Factor 5x^2 + 16x – 16

Mathematics
2 answers:
UkoKoshka [18]3 years ago
7 0

Answer:

(x + 4)(5x - 4)

Step-by-step explanation:

5x^2 + 16x – 16 \\  = 5x^2 + 20x  - 4x– 16 \\  = 5x(x + 4) - 4(x + 4) \\  = (x + 4)(5x - 4)

8_murik_8 [283]3 years ago
3 0

Answer:

 (5x - 4) • (x + 4)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant   5 • -16 = -80

Find two factors of  -80  whose sum equals the coefficient of the middle term, which is   16 .

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  20  

                    5x2 - 4x + 20x - 16

Add up the first 2 terms, pulling out like factors :

                   x • (5x-4)

             Add up the last 2 terms, pulling out common factors :

                   4 • (5x-4)

Add up the four terms of step 4 :

                   (x+4)  •  (5x-4)

            Which is the desired factorization

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