Question

When a polynomial 6x4 + 8x3 + 290x2 + 21x + 7 is divided by another polynomial 3x2 + 4x + 1 the remainder is in the form ax + b. Find a and b.

Answer 1

Answer:

a=-363 and b=-89

Step-by-step explanation:

Given,

P(x)=6x^4+8x^3+290x^2+21x+7

g(x)=3x^2+4x+1

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Answer 2

Answer:

concept: using the concept of polynomial by dividing one by other and finding the remainder

Step-by-step explanation:

given :

6x⁴+ 8x³+ 290x²+21x + 7

which is divided by 3x²+4x+1

3x²+4x+1 )6x⁴+8x³+290x²+21x+7(2x+ 96

6x⁴+8x³+ 2x

288 +21x+7

288+384+96

-363x-89

steps:

we are divide 6x⁴+8x³+290x²+21x+7 by 3x²+4x+1

know we need to multiply (2x) to 3x²+4x+1

we get 6x⁴+8x³+ 2x

then we multiply 96 to 3x²+4x+1

so we get 288+384+96

then we subtract to get the remainder

363x-89 this is the answer we compare with a and b

HENCE a= 363 and b = -89

this is the solution

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