Question

Find the remainder (without division) when 8x2
+5x + 1 is divisible by x – 10

Answer 1

Given : 8x² +5x + 1 is divided by x - 10

To Find : Remainder

Solution:

Using remainder theorem :

if polynomial   p(x)  is divided by x - m

then remainder is p(m)

and if p(m) = 0 then (x - m) is a factor

p(x) = 8x² +5x + 1

divided by x - 10

Hence m = 10

so remainder =p(10)

p(10) =8(10)² +5(10) + 1  = 851

Verification by division

                          8x   + 85    

   x - 10    _|      8x² +5x + 1   |_

                         8x² - 80x

                       _______

                                  85x + 1

                                  85x - 850

                                 __________

                                            851

Verified that remainder is 851

Learn More:

on dividing x3-3x2+x+2 by a polynomial g(x),the quotient and ...

brainly.in/question/3135153

Divide 9x^3+3x^2-5x+7 by (3x-1) write the quotient and remainder ...

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Divide the polynomial (6x³ + 11x² - 10x - 7) by the binomial (2x + 1 ...

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Answer 2

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Given : 8x² +5x + 1 is divided by x - 10

To Find : Remainder

Solution:

Using remainder theorem :

if polynomial   p(x)  is divided by x - m

then remainder is p(m)

and if p(m) = 0 then (x - m) is a factor

p(x) = 8x² +5x + 1

divided by x - 10

Hence m = 10

so remainder =p(10)

p(10) =8(10)² +5(10) + 1  = 851

Verification by division

                          8x   + 85    

   x - 10    _|      8x² +5x + 1   |_

                         8x² - 80x

                       _______

                                  85x + 1

                                  85x - 850

                                 __________

                                            851

Verified that remainder is 851

Learn More:

on dividing x3-3x2+x+2 by a polynomial g(x),the quotient and ...

brainly.in/question/3135153

Divide 9x^3+3x^2-5x+7 by (3x-1) write the quotient and remainder ...

brainly.in/question/6190809

Divide the polynomial (6x³ + 11x² - 10x - 7) by the binomial (2x + 1 ...

brainly.in/question/4743553