How do you factor #x^2 + 3x - 10#?

3 Answers
Vinícius Ferraz
Jul 23, 2015

#(x + 5)(x - 2)#

Explanation:

#S = -3, P = -10#

Two numbers whose product is 10: (1, 10) or (2, 5).

The sign of Sum goes to that which the greater modulus.

The sign of Product (-) shows reverse signs.

#x = -10 or x = +1 \Rightarrow S = -9#

#x = -5 or x = +2#

Nghi N.
Jul 23, 2015

Factor# y = x^2 + 3x - 10#

y = (x - 2)(x + 5)

Explanation:

Y = x^2 + 3x - 10.
Find 2 numbers knowing sum (3) and product (-10).
Factor pairs of (-10) -> (-1, 10)(-2, 5). This sum is 3 = b. The 2 numbers are: -2 and 5.
y = (x - 2)(x + 5).

Sudip Sinha
Jul 23, 2015

# (x + 5) (x - 2) #

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