Factorise 20x^2-15x-10
Answers
Answer:
5 (4 x^2 - 3 x - 2)
Step-by-step explanation:
Factor the following:
20 x^2 - 15 x - 10
Factor 5 out of 20 x^2 - 15 x - 10:
Answer:
5 (4 x^2 - 3 x - 2)
Answer:
0
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Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((22•5x2) - 15x) - 10 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
20x2 - 15x - 10 = 5 • (4x2 - 3x - 2)
Trying to factor by splitting the middle term
3.2 Factoring 4x2 - 3x - 2
The first term is, 4x2 its coefficient is 4 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 4 • -2 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -3 .
-8 + 1 = -7
-4 + 2 = -2
-2 + 4 = 2
-1 + 8 = 7
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
3
:
5 • (4x2 - 3x - 2) = 0
STEP
4
:
Equations which are never true
4.1 Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.