Elias’s teacher has given him a rectangle that is 15 feet by 20 feet. she has asked him to create a new rectangle using a scale factor of 8/3. elias says that will be a reduction because the scale factor is a fraction. is he correct? explain.

Elias is not correct. The new rectangle will be an enlargement because the scale factor is greater than 1. To be a reduction, the scale factor must be between 0 and 1.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form