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SVETLANKA909090 [29]
4 years ago
13

3x^+7x-6 factor completely

Mathematics
1 answer:
Ostrovityanka [42]4 years ago
6 0

The factor for given equation 3x^2+7x-6 is (3x-2) and (x+3).

<u>Step-by-step explanation:</u>

To find the factors of the equation,

1) Multiply the coefficient of the x^2 and the constant value.

⇒3×(-6)= -18.

2) Now find two numbers that can result is in -18 while multiplying and 7 (middle term or coefficient of x) while adding.

⇒9 × (-2) = -18.

9+(-2)= 7.

Now spit the equation as3x^2+9x-2x-6.

=(3x^2+9x)-(2x-6).

=3x(x+3) - 2(x+3).

=(x+3)(3x-2).  (by taking out the common term x+3)

∴ The factor for given equation 3x^2+7x-6 is (3x-2) and (x+3).

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