factorize 3x²-13x+10
Answers
Step-by-step explanation:
ans:
= (3x+2)(x-5).........................
Answer:
(3x+10)(x+1)
Step-by-step explanation:
F.Y.I ^ means to the power of x^2 means x square x^3 means x cubed and so on
3x^2-13x+10
=3x^2-ax+bx+10-------(a+b=13 and a and b should be the factors of the product . of the x^2(3) term and the constant(10))
The product of 3 and 10= 30 and the factors of 30 which sum up to 13 are 10 and 3 therefore a=10 and b=3
so we can write the equation 3x^2-ax+bx+10 as
3x^2+3x+10x+10
=3x(x+1)+10(x+1) (taking 3x common in the first 2 terms and 10 . . . common in the last 2 terms)
=(3x+10)(x+1) (taking x+1 common in the 2 terms)
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