Hali1202 Hali1202
  • 23-03-2020
  • Mathematics
contestada

factorize the following:x^2+3x-40

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breedeenie46
breedeenie46 breedeenie46
  • 23-03-2020
Your answer would be: (x + 8) • (x - 5)
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Officialalehpeter
Officialalehpeter Officialalehpeter
  • 23-03-2020

Answer:

(x-5)(x+8)

x = 5

x = -8

Step-by-step explanation:

x^2+3x-40

Factorise

Two numbers that when added together gives +3 and when multiplied together gives -40.

The two numbers are +8 and -5

+8-5=+3

+8 X-5=-40

Hence, we substitute this two numbers with +3 in the equation above

x^2+8x-5x-40

We group into bracket

(x²+8x)-(5x+40)

In the first bracket, x is common while 5 is common in the second bracket

x(x+8)-5(x+8)

(x-5)(x+8)

x-5=0 x=5

x+8=0 x=-8

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