Question

Write the standard form of the following polynomial.

(2x-3)²-3(x-2)(x+4)-7

X² ? X+ ?

Answer 1

To write the standard form of the polynomial (2x-3)²-3(x-2)(x+4)-7, we need to simplify and expand the expression.

(2x-3)²-3(x-2)(x+4)-7
= (2x-3)(2x-3) - 3(x²+2x-8) - 7
= 4x² - 12x + 9 - 3x² - 6x + 24 - 7
= x² - 18x + 26

Therefore, the standard form of the polynomial is x² - 18x + 26.