write -5x2(-3x2-2x3) in standard form.then classify it by degree and number of terms

Question

Please Show Work Idk What To Do

Answer 1

I'm assuming you're writing those terms as coefficient/variable/power:

 

-5x²(-3x² - 2x³)

 

You have a monomial multiplied by a binomial; you need to use the distributive property to simplify. To do so, multiply the outer factor by each term of the binomial and simplify:

 

(-5x²) * (-3x²) - (-5x²) * (2x³)

= (-5*-3)(x²*x²) - (-5*2)(x²*x³)

= 15x⁴ + 10x⁵

 

The degree of the polynomial is the highest exponent present in any term. What's the highest power you see here?

 

Terms are numbers and variables separated by + or -. How many terms are here?