Which statements are true about the polynomial function? f(x)=x3−x2−4x+4

1 answer:

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To determine which of the statement is/are true, we simply have to evaluate the given choices.

a. f(x) = 0 when x = -1

f(x) = (-1)^3 - (-1)^2 - 4(-1) + 4
f(x) = 6

FALSE

b. f(x) divided by x - 1 has a remainder of 0.

f(x) = (1)^3 - (1)^2 - 4(1) + 4
f(x) = 1 - 1 - 4 + 4 = 0

TRUE.

c. (x - 1) is a factor of f(x)

Since, the division of f(x) by x - 1 gave an answer of zero this means that it is a factor.

TRUE.

d. f(-1) = 0.

In relation to letter a of this item, if we are to substitute -1 to x of the given equation, the answer is 6 instead of zero.

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18. what is the midpoint of PQ P(-2, 2.5), Q(1.4, 4)

scoray [572]

Mid point of the points PQ is (₋0.3 , 3.25)

Given points are:

P(₋2 , 2.5)

Q(1.4 , 4)

midpoint of PQ = ?

A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.

The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.

Midpoint formula (x,y) = (x₁ ₊ x₂/2 , y₁ ₊ y₂/2)

we have two points:

P(₋2,2.5) = (x₁,y₁)

Q(1.4,4) = (x₂,y₂)

Midpoint = (₋2 ₊ 1.4/2 , 2.5₊4/2)

= (₋0.6/2 , 6.5/2)

= (₋0.3 , 3.25)

Hence we determined the midpoint of PQ as (₋0.3 , 3.25)

Learn more about coordinate geometry here:

brainly.com/question/7243416

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