Factorise : 3x² - 3√2x - 10
Answers
Answer:
x2" was replaced by "x^2".
Step by step solution :
STEP
1
:
Equation at the end of step 1
(3x2 - 2x) - 10 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 3x2-2x-10
The first term is, 3x2 its coefficient is 3 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 3 • -10 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -2 .
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7
-6 + 5 = -1
-5 + 6 = 1
-3 + 10 = 7
-2 + 15 = 13
-1 + 30 = 29
Observation : No two such factors can be found !!