If s(x) = x - 7 and t(x) = 4x² - x + 3, which expression is equivalent to (t*s)(x)?
4(x - 7)² - x - 7 + 3
4(x - 7)² - (x - 7) + 3
(4x² - x + 3) - 7
(4x² - x + 3)(x - 7)

Solution:

"A polynomial is a type of expression in which the exponents of all variables should be a whole number."

It is given that:

s(x) = x - 7 and t(x) = 4x² - x + 3,

Now we have to find the expression is equivalent to (t × s)(x),

So take s(x) = x - 7 and substitute it in for every x in t(x).

Then,

t(x) = 4x² - x + 3

t(x) = 4(x - 7)² - (x - 7) + 3

Therefore, the expression equivalent to (t × s)(x) is 4(x - 7)² - (x - 7) + 3.

If s(x) = x - 7 and t(x) = 4x² - x + 3, which expression is equivalent to (t*s)(x)?
4(x - 7)² - x - 7 + 3    4(x - 7)² - (x - 7) + 3    (4x² - x + 3) - 7    (4x² - x + 3)(x - 7)

Summary:

If s(x) = x - 7 and t(x) = 4x² - x + 3,the expression equivalent to (t × s)(x) is 4(x - 7)² - (x - 7) + 3.