Question

polynomial operations reteach (teacher manually grades)4 of 16pedro multiplied $(x - 3)(3x + 5)$ and got $3x^2 - 4x - 15$. the screen at the right shows what pedro entered into his graphing calculator:plot1 plot2 plot3$y_1=(x-3)(3x+5)LXB0y_3=LXB1y_5=LXB2y_7=$which of the following correctly explains how pedro can use the table feature on his calculator to verify that $(x - 3)(3x + 5)$ is equivalent to $3x^2 - 4x - 15$ ?○ the numbers in the $y_2$ column should be 3 times the corresponding numbers in the $y_1$ column○ the numbers in the x, $y_1$ and $y_2$ columns should match exactly○ the numbers in the $y_2$ column should be 15 less than the corresponding numbers in the $y_1$ column○ the numbers in the $y_1$ and $y_2$ columns should match exactly

Explanation:

Two polynomials are equivalent if they produce identical output values for every input value of $x$. When using a calculator's table feature, this means the values in the $Y_1$ (which is $(x-3)(3x+5)$) and $Y_2$ (which is $3x^2-4x-15$) columns will match exactly for all valid $x$-values.

Answer:

The numbers in the $Y_1$ and $Y_2$ columns should match exactly