Question

Factorize :-

Answer 1

\[3x^2 - x -10\]

Answer 2

Factors out to (3x+5)(x-2), 5*2=10, and 5+-6=-1

Answer 3

How did you do that ? I am weak at this.

Answer 4

Please explain me.

Answer 5

usually I just pray and answers just appear in front of me

Answer 6

master product rule... multiply a and c (3)(-10) = -30

look for factors that sum to b = -1

these factors are -6 and 5.

rewrite the middle term

\[3x^2-x-10 \Rightarrow 3x^2-6x+5x-10\]

factor by grouping:
\[\Rightarrow 3x^2-6x+5x-10= (3x^2-6x)+(5x-10)= 3x(x-2)+5(x-2)\]
\[\Rightarrow 3x^2-x-10 =(3x+5)(x-2)\]

Answer 7

product rule:
u'v+uv'