Factorise 15x2 + 3√3 x – 8.
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Answers
Answer:
Given : 15x2+2x−8
We can further write it as
15x2+2x−8=15x2−10x+12x−8
By taking out the common terms
15x2+2x−8=5x(3x−2)+4(3x−2)
So we get,
15x2+2x−8=(5x+4)(3x−2)
Step-by-step explanation:
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Step-by-step explanation:
Factoring 15x2-3x-8
The first term is, 15x2 its coefficient is 15 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 15 • -8 = -120
Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is -3 .
-120 + 1 = -119
-60 + 2 = -58
-40 + 3 = -37
-30 + 4 = -26
-24 + 5 = -19
-20 + 6 = -14
-15 + 8 = -7
-12 + 10 = -2
-10 + 12 = 2
-8 + 15 = 7
-6 + 20 = 14
-5 + 24 = 19
-4 + 30 = 26
-3 + 40 = 37
-2 + 60 = 58
-1 + 120 = 119