MATHEMATICS MIDDLE SCHOOL

The Expression 4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3) find the value of pA) 11
B)-2
C)15
D)40

Answers

Answer 1

Answer:

Answer:

(c) For p = 15, $4x^2-p(x)+7$ leaves a remainder of -2 when divided by (x-3).

Step-by-step explanation:

Here, The dividend expression is $4x^2-p(x)+7$ = E(x)

The Divisor = (x-3)

Remainder = -2

Now, by REMAINDER THEOREM:

Dividend = (Divisor x Quotient) + Remainder

If ( x -3 ) divides the given polynomial with a remainder -2.

⇒ x = 3 is a solution of given polynomial E(x) - (-2) =

$E(x) - (-2) = 4x^2-p(x)+7 -(-2) = 4x^2-p(x)+9$ = S(x)

Now, S(3) = 0

⇒ $4x^2-p(x)+9 = 4(3)^2 - p(3) + 9 = 0\n\implies 36 - 3p + 9 = 0\n\implies 45= 3p , \nor p =15$

or, p =1 5

Hence, for p = 15, $4x^2-p(x)+7$ leaves a remainder of -2 when divided by (x-3).

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Step-by-step explanation:

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Answers

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What is 2.6 as a fraction or mixed number? Pls help

Answers

The number 2.6 as a fraction is 13/5 and as the mixed number is 2 3/5.

Given a number 2.6.

We have to write this number as a fraction or mixed number.

Generally, decimals and fractions are highly interrelated.

Fractions can be converted in to decimals and decimals can be converted in to fractions.

Here the decimal number is 2.6.

This can be written as,

2.6 = 2.6 / 1

Multiplying numerator and denominator with 10,

2.6 = 26/10 = 13/5

So the fraction is 13/5

This can be written as a mixed number as 2 3/5.

Learn more about fractions here :

brainly.com/question/10708469

#SPJ6

Answer:

$2(3)/(5)$

Step-by-step explanation:

We need to write 2.6 as a fraction or a mixed number

2.6 or 2.6/1 are same

We have one number after the decimal point

To remove decimal point we multiply both top and bottom by 10

$(2.6)/(1) =(2.6*10)/(1*10) = (26)/(10)$

Now we divide it

2 (quotient)

------------------------

10 26

------------------------- (subtract)

6 (remainder)

so mixed fraction is $2(6)/(10)$

6/10 can be reduced to 3/5

So final answer is $2(3)/(5)$

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