A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Choose one of the factors of x3 - 1331.
x - 11, x2 - 11x + 121, x2 + 22x + 121, None of the above
Solution:
We will be use the algebraic identity a3 - b3 = (a - b)(a2 + ab + b2)
Since we know that 1331 is a cube root of 11.
Using the identity a3 - b3 = (a - b)(a2 + ab + b2)
x3 - 1331 = x3 - (11)3
= (x - 11)(x2 + 11 × x + (11)2)
= (x - 11)(x2 + 11x + 121)
As we can see that (x - 11) and (x2 + 11x + 121) are the factors of x3 - 1331.
Choose one of the factors of x3 - 1331.
Summary:
The factors of x3 - 1331 are (x - 11) and (x2 + 11x + 121).
Math worksheets and
visual curriculum
visual curriculum