Question

Q.1.4; What are the qutoient
and the remainder when
${3x}^{4} + {5x}^{3} - {7x}^{2} + 2x + 2$
is divided by
${x}^{2} + 3x + 1$
Q.1.6; If one root of the polynomial f(x)
$= {5x}^{2} + 13x + k$
is reciprocal of the other, then the value of k is?


Q.1.7; If two zeroes of polynomial f(x)
$= {x}^{4} - {6x}^{3} - {26x}^{2} + 138x - 35$
are
$2 + \sqrt{3} and \: - 2 \sqrt{3}$
find other zeroes .


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Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Q. 17) For answer Refer to the attachment... ☺☺

Your answer is - 5 and 7 is the zeroes of the p(x)

Q. 14) see the attachments for answer

your answer is

Quotient = 3x^2 - 4x - 1

Remainder = - 3x - 1.

Q. 16)

$\bf{5x^2 + 13x + k}$

comparing with ax + c + c = 0

a =5 , b = 13 , and c = k

Formula:-

$\bf{b^2 - 4ac}$

$\bf\implies{13^2 - 4\times{5\times\ k}}$

$\bf\implies{169 - 20k}$

$\bf\implies\frac{169}{20}=k$