This quadratic expression cannot be factored because its discriminant is less than zero
(3x-2)(x-2)
3x2+x-2 = (3x-2)(x+1) when factored
9x^(2) + 16 DOES NOT factor. Remember ; two squared terms with a plus(+) between them DOES NOT factor However, two squared terms with a minus(-) between them DOES factor . Hence 9x^(2) + 16 = (3x)^2) + 4^(2) does NOT factor However, 9x^(2) - 16 = (3x)^2) - 4^(2) does factor to ( (3x - 4)(3x + 4) Note the two different signs.
2(5x - 1)(3x - 2)
(x - 2)(2x + 7)
x^2 + 3x + 2/(-3x) - x^2 - 2=3x-2+2/(-3x)=3x-2-2/(3x)
(3x-2)(x-2)
(x + 2)(3x - 1)(3x + 1)
3x2+x-2 = (3x-2)(x+1) when factored
9x2 - 6xy + y2 - 81 = (3x - y)2 - 92 = (3x - y - 9)(3x - y + 9)
3x^2 -14x +15 = (3x-5)(x-3)
9x^(2) + 16 DOES NOT factor. Remember ; two squared terms with a plus(+) between them DOES NOT factor However, two squared terms with a minus(-) between them DOES factor . Hence 9x^(2) + 16 = (3x)^2) + 4^(2) does NOT factor However, 9x^(2) - 16 = (3x)^2) - 4^(2) does factor to ( (3x - 4)(3x + 4) Note the two different signs.
2(5x - 1)(3x - 2)
The factors are [3x + 5 - 2*sqrt(10)] and [3x 5 + 2*sqrt(10)].
(x - 2)(2x + 7)
9x2 - 6xy + y2 - 81 = (3x - y)2 - 81 = (3x - y - 9)*(3x - y + 9)
3x^2+3x-60=3(x^2+x+20)=3(x+5)(x-4)