Write the polynomial in standard form, then name the polynomial based on it's degree and number of terms. 6-12x+13x^2-4x^2

I'm assuming I'm intended to combine like terms and then label it as a binomial, trinomial, etc

so you could get: 6 - 12x + 11x^2 and that is a trinomial. Or depending on how far your teacher likes to simplify things (factoring and stuff) you could get 3(2 -x), but you best bet would be the first one

there are no answer choices

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)