Question

when 3x² + 4x - 7 is divided by x-2 then the remainder will be​

Answer 1

Answer: (ATTACHMENT)

Answer 2

Answer:

Step-by-step explanation:

3x2+4x−7

Factor the expression by grouping. First, the expression needs to be rewritten as 3x2+ax+bx−7. To find a and b, set up a system to be solved.

a+b=4ab=3(−7)=−21

Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −21.

−1,21−3,7

Calculate the sum for each pair.

−1+21=20−3+7=4

The solution is the pair that gives sum 4.

a=−3b=7

Rewrite 3x2+4x−7 as (3x2−3x)+(7x−7).

(3x2−3x)+(7x−7)

Factor out 3x in the first and 7 in the second group.

3x(x−1)+7(x−1)

Factor out common term x−1 by using distributive property.

(x−1)(3x+7)

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