Question

If p(x)=2x cube+x square-5x+2 and g(x)=x+1then divide p (x) by g(x) find quotient and remainder

Answer 1

Answer:

Quotient = 2x² - x - 4

Quotient = 2x² - x - 4Remainder. = 6

Step-by-step explanation:

Given,

p(x) = 2x³ + x² - 5x + 2

is divisible by g(x) = x + 1

To find Quotient we will use Long division method while remainder can be easily found by using Remainder Theorem.

In this theorem to find remainder we will put x + 1 = 0 or x = - 1 in p(x) to get Remainder.

p(x) = 2x³ + x² - 5x + 2

p(-1) = 2(-1)³ + (-1)² - 5(-1) + 2

p(-1) = -2 + 1 + 5 + 2

p(-1) = 6

Thus the Remainder is 6.

Quotient = 2x² - x - 4

Answer 2

✯✯ QUESTION ✯✯

If $p(x)={2x}^{3}+{x}^{2}-5x+2$and g(x)=x+1then divide p (x) by g(x) find quotient and remainder ..

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✰✰ ANSWER ✰✰

(Refer to the attachment)

➥Now ,

$\implies\tt{x+1=0}$

$\implies\tt{x=-1}$

➥Putting x = -1 : -

$\implies\tt{{2x}^{3}+{x}^{2}-5x+2}$

$\implies\tt{2{(-1)}^{3}+{(-1)}^{2}-5(-1)+2}$

$\implies\tt{2(-1)+1+5+2}$

$\implies\tt{-2+1+5+2}$

$\implies\tt{6}$

_______________________

• Quotient = 2x²-1x-4
• Remainder = 6