Question

FIND WEATHER FOLLOWING STATEMENT ARE TRUE OR FALSE.

1) If the polynomials
$2 {x}^{3} + a {x}^{2} + 3x - 5 \: and \: {x}^{3} + {x}^{2} - 4x + a$
leave the same remainder when divided by
$x - 2$
then the value of
$a = \frac{ - 13}{3}$
2) (x+1) and (2x-3) are factors of polynomial
$2 {x}^{3} - 9 {x}^{2} + x + 12$
3) when
${x}^{3} - 6 {x}^{2} + 9x + 7$
is divided by (x-1), the remainder is 11.

4)is
${a}^{4} + 4 = ({a}^{2} + a + 2)( {a}^{2} - a + 2)?$
5) 3 is added to
${x}^{3} - 3 {x}^{2} + 4x - 13$
so that it is exactly divisible by x-3.

6) if the polynomial
$5 {x}^{2} - 2x + a$
is divided by x-2, it leaves a remainder 7. then, the value of a is -7.​

Answer 1

Step By Step Explaination

Answer 2

Answer:

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