Question

5x³-12x²+12x+13
------------------------
x²-3x+4​

Answer 1

Answer:

hope it will help you...

Answer 2

Quotient and division polynomials are q(x)=5x+3 and r(x)= x+1 respectively.

Given:

• $\frac{5 {x}^{3} - 12 {x}^{2} + 12x + 13 } { {x}^{2} - 3x + 4}$

To find:

• Perform division.

Solution:

Step 1:

Write the divisor and dividend in division form.

${x}^{2} - 3x + 4 \: ) \: 5 {x}^{3} - 12 {x}^{2} + 12x + 13 \: ($

Multiply 5x with the divisor.

$\: \: \: \: \: \: {x}^{2} - 3x + 4 \: ) \: 5 {x}^{3} - 12 {x}^{2} + 12x + 13 \: (5x + 3\\ \: \: \: \: \: \: \: \: \: \: \: \: \: 5 {x}^{3} - 15 {x}^{2} + 20x \\ ( - ) \: \: \: \: ( + ) \: \: \: \: ( - ) \\ - - - - - - - \\ 3 {x}^{2} - 8x + 13 \\ 3 {x}^{2} - 9x + 12 \\ ( - ) \: \: ( + ) \: \: ( - ) \\ - - - - - - - \\ x + 1 \\ - - - - - - -$

now further division is not possible.

Step 2:

Write quotient and remainder polynomial.

Quotient of division is $q(x) = 5x + 3$

Remainder is $r(x) = x + 1$

Thus,

Quotient and division polynomials are 5x+3 and x+1 respectively.

Learn more:

1) divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following 1) p(x)=a...

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2) (x4-x3+2)÷(x+2) polynomial

Long division

synthetic division

reminder theorem

factor theorem

(Solution)

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