Question

Factorise : 3x² - 3√2x - 10​

Answer 1

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 !!