Question

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^3-5a^2+6a-7 g(x)=a^2-2​

Answer 1

Answer:

here is your answer

it is an image

Answer 2

Step-by-step explanation:

Given:

$p(a) = {a}^{3} - 5 {a}^{2} + 6a - 7 \\ \\ g(a) = {a}^{2} - 2$

Find: Quotient and reminder polynomial

Solution:

Long division method is applied here

${a}^{2} - 2 \: ){a}^{3} - 5 {a}^{2} + 6a - 7(a - 5 \\ {a}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: - 2a \\ (-) \: \: \: \: \: \: \: \: \: \: \: \: \:(+)\\- - - - - - - - - \\ - 5 {a}^{2} + 8a - 7 \\ - 5 {a}^{2} \: \: \: \: \: \: \: \: \: \: \: \: 10 \\ (+)\: \: \: \: \: \: \: \: \: \: \: \: (-)\\ - - - - - - - - \\ 8a - 17$

By this way,one can divide the polynomial.

just keep one thing in your mind always try to cancel first term.

Quotient polynomial: a-5

Remainder polynomial: 8a-17

Hope it helps you.

To learn more on brainly:

Find the value of 'a' for which 2x³+ax²+11x+a+3 is exactly divisible by 2x-1

Please show the whole solution also because...

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