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Stells [14]
3 years ago
14

The polynomial g(x) = 2x³ + 3x² + qx - 1, has the same remainder when divided by ( x + 2 ) and ( x - 1 ). Find the value of cons

tant q.
Mathematics
1 answer:
Alisiya [41]3 years ago
6 0

Answer:

q = -3.

Step-by-step explanation:

By the Remainder Theorem:

Remainder when dividing by x + 2 =  g(-2) and

the remainder when dividing by x - 1 =  g(1) .

So g(-2) = g(1) .

That is:

2(-2)^3 + 3(-2)^2 - 2q - 1 = 2(1)^3 + 3(1)^2 + q - 1

-16 + 12 - 2q - 1 = 2 + 3 + q - 1

-2q - q = 5 + 2 + 3 - 1

-3q = 9

q = -3.

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*See attached picture for the diagrams being referred to

Answer:

C. ⁵/12= ²/x

Step-by-step Explanation:

Given that rectangle EFGH is similar to rectangle JKLM, it means the corresponding sides of both rectangles are similar, and as such the ratios if the corresponding sides of rectangle EFGH and rectangle JKLM would be equal.

Thus, EF/JK = FG/KL

Since, EF = 5; JK = 12; FG = 2; and KL= x, therefore, the proportion to use in finding x would be:

⁵/12= ²/x

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7. In name the bisected angles 1 and 2. If is 4x  3y, can be determined in terms of x and y? If so, state in terms of x+ y expr
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Answer:since there is no diagram i will answer to the best of my ability.

Step-by-step explanation:

If an angle is bisected then it is divided into 2 equal angles which i think they are naming 4x and 3y. In this case, 4x=3y. Solving for x, we get x= (3y)/4. Solving for y we get y= (4x)/3. Now if we substitute (4x)/3 for y in the equation x= (3y)/4 then x= (3(4x)/3)/4 = 4x/4=× so then we can say x÷y = measure of original angle that was bisected. Or znother way it can be said is x+y = 2x or x+ y =2y.

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