Question

pls anyone answer these questions

1. If (x
2
− 1) is a factor of px4
+ qx
3
+ rx
2
+ sx + t, show that p + r + t = q + s = 0



4. Express 2.3 bar6 + 0.bar 23 as a fraction in simplest form.


5. Factorize: 14x6

– 45x3y
3
– 14y6


6. If x2
– 3x + 2 divides x3
– 6x2 + ax + b exactly, then find the value of ‘a’ and ‘b’


7. If 2
a = 3b = 6c

then show that :c=ab/a+b


8. What must be added to x3
– 3x2
– 12x + 5, so that the result is exactly divisible by x2
+ x – 6


9. If x
4
+
1/
x
4
=47. Find the value of x
3
+
1
/x
3


10. If f(x) =x4 −2x3 +3x2−ax + b is a polynomial such that when it is divided by x −1 and x + 1,

the remainders are 5 and 19. Determine the remainder when f(x) is divided by x −2.


11. If x = 1/
2−√3, find the value of x3 −2x2 − 7x +5.


12. If √2 + √3
/3√2 −2√3
= a − b√6 , find the values of a and b.


13. Two classmates Salma and Anil simplified two different expressions during the revision hour and
explained to each other their simplifications. Salma explains simplification of
root2/root5+ root3

and Anil

explains simplification of
root28 + root98 + root147
. Write both the simplifications. What value does it
depict?

Answer 1

here is the answer for ur first question