Question

Select the correct steps for factoring the polynomial 27x +8

Answer 1

Answer:

27x + 8 =  (3$\sqrt[3]{x}$ + 2)($9\sqrt[3]{x^{2} } - 6\sqrt[3]{x} + 4$) is the final factorized form of the given polynomial.

Step-by-step explanation:

i) 27x + 8    = $3^{3}(\sqrt[3]{x} } )^3 + 2^{3}$

ii) From the formula $a^{3} + b^{3} = (a + b)(a^{2} - ab + b^{2} )$ we can write for the given polynomial

iii) therefore 27x + 8 =  ($3\sqrt[3]{x}$ + 2)($9\sqrt[3]{x^{2} } - 6\sqrt[3]{x} + 4$) is the final factorized form of the given polynomial.