Question

Hey there ! can you please help me out on this question posted picture

Answer 1

The answer is A. x³ - x² - 17x + 12.
To multiply a binomial by a trinomial, we multiply each term in the first polynomial by each term in the second polynomial.
Multiplying the first term then the second term of the first polynomial by each term in the second polynomial, we now have
     (x+4)(x² - 5x + 3) = x³ - 5x² + 3x + 4x² - 20x + 12
Combining like terms to simplify and get the product equal to:
     (x+4)(x² - 5x + 3) = x³ - 5x² + 4x² + 3x - 20x + 12 
                                 = x³ - x² - 17x + 12

Answer 2

Hey there :)

We distribute the values inside the brackets and multiply each term by one another
( x + 4 )( x² - 5x + 3 )
           ↓
Open Brackets

x ( x² ) + x ( - 5x ) + x ( 13 ) + 4 ( x² ) + 4 ( - 5x ) + 4 ( 3 )
x³ - 5x² + 3x + 4x² - 20x + 12

Combine the like-terms
x³ - 5x² + 4x² + 3x - 20x + 12
x³ - x² - 17x + 12

Your answer will be $\boxed {Option \ A }$