chin made an error in his chart showing the multiplication of the binomial by the trinomial. (3x + y)(x² +…

chin made an error in his chart showing the multiplication of the binomial by the trinomial. (3x + y)(x² + 2y + 4)\nwhich change can be made to correct the chart?\nthe expression 3x³ should be 3x².\nthe expression 6x should be 6xy.\nthe expression x²y should be x²y².\nthe expression 4y should be 4y².

chin made an error in his chart showing the multiplication of the binomial by the trinomial. (3x + y)(x² + 2y + 4)\nwhich change can be made to correct the chart?\nthe expression 3x³ should be 3x².\nthe expression 6x should be 6xy.\nthe expression x²y should be x²y².\nthe expression 4y should be 4y².

Answer

Explanation:

Step1: Multiply 3x by each term in trinomial

When we multiply (3x) by (x^{2}), we get (3x\cdot x^{2}=3x^{3}); when we multiply (3x) by (2y), we should get (3x\cdot2y = 6xy) (not (6x)); when we multiply (3x) by (4), we get (3x\cdot4=12x).

Step2: Multiply y by each term in trinomial

When we multiply (y) by (x^{2}), we get (y\cdot x^{2}=x^{2}y); when we multiply (y) by (2y), we get (y\cdot2y = 2y^{2}); when we multiply (y) by (4), we get (y\cdot4 = 4y).

Answer:

The expression (6x) should be (6xy).