Question

factorise 8x^3+12x^2-6x-1

Answer 1

Answer :

• 8x³ + 12x² - 6x - 1 = (2x - 1) (4x² + 8x + 1)

Given :

• 8x³ + 12x² - 6x - 1

To find :

• Factorise

Solution :

》8x³ + 12x² - 6x - 1

》8x³ + 16x² - 2x - 4x² - 8x - 1

》2(4x³ + 8x² + x) - 1(4x² + 8x + 1 )

》2(4x³ + 8x² + 1x) - 1(4x² + 8x + 1 )

》2x(4x² + 8x + 1) - 1(4x² + 8x + 1)

》(2x - 1) (4x² + 8x + 1)

Hence,

8x³ + 12x² - 6x - 1 = (2x - 1) (4x² + 8x + 1)

More Explanation :

• This is a polynomials
• Monomials, binomials, Trinomials and polynomials are types of polynomial which means one term, two term, three term and many term
• Example of polynomials are 2x + 7 , x² + 8x , 2x² - x + 8 , 3x³ + 2x² + x + 6