EXAMPLE Prove that 1 1x2+2x3+ + 3x4 1 4x5 + ... + 1 (n − 1) n n = n-1

For the polynomial 8y43y2+1a. Is it a monomial binomial, or trinomial? b. What is its degree?

Why does (a+b)2result in a trinomial. but (a+b)(ab)result in a binomial?

How do you determine whether to use plus or minus signs in the binomial factors of a trinomial of the form x2+bx+c where b and c may be positive or negative numbers?

Multiply using the Binomial Squares pattern: (25i)2.

Which polynomial represents the difference between 6x2 + 3x - 8 and x² – 3x + 4? F 5x? - 12 G 7x2 + 6x – 4 H 5x2 + 6x - 12 J 7x² – 4 Which expression is equivalent to 4x- (3x2 + x) + 5 - (2x + 1)? 7) 8 69

3 Multiply using the rule for the square of a binomial (7x+4)² (7x+4)² = ---

Multiply the binomial (9x2-7y2) (x2-4y2)

represent, 5 x 17=85, 5 x 29=145, 13 x 17=221 as a sum of two squares according to the formula n1 x n2 =(ac +bd )^2 + (ad - bc) ^2

What polynomial must be added to-7x3+8x-3 so that the sum is x2-x-1?