Which expression represent the protuct of a variable and a coefficient 11c 1/2t 5 . 10 j . 4

A

B

D

Step-by-step explanation:

Product is a fancy word for the result of a multiplication.

Variable are placeholder letters like x, y, or t...

Coefficient are the numbers in front of a variable.

So 12x has a coefficient of 12 and 999t has a coefficient of 999.

Simply put it, the question is asking for which letter and number are multiplying together. C is not the answer because there's no variable.

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.