Question

select the correct answer from each drop - down menu. simplify the following polynomial expression. (3x² - x - 7) - (5x² - 4x - 2) + (x + 3)(x + 2) the polynomial simplifies to an expression that is a with a degree of

Explanation:

Step1: Expand $(x + 3)(x + 2)$

Using FOIL method: $(x + 3)(x + 2)=x^{2}+2x+3x + 6=x^{2}+5x+6$

Step2: Remove parentheses in $(3x^{2}-x - 7)-(5x^{2}-4x - 2)$

$3x^{2}-x - 7-5x^{2}+4x + 2$

Step3: Combine like - terms of all expressions

$(3x^{2}-5x^{2}+x^{2})+(-x + 4x+5x)+(-7 + 2+6)$
$=-x^{2}+8x + 1$

Answer:

The polynomial simplifies to an expression that is a quadratic trinomial with a degree of 2.