Question

13) X = 7 + 4 13 then X + 1/X = *
0813
14
28
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Other:​

Answer 1

Answer:

Divide the following polynomial p(x)by g(x).

(a) p(x)=x 4 +x 3 +2x 2 +3x+4,g(x)=x+2

(b) p(x)=8x 4 +6x 3 -3x 2 +x+6,g(x)=4x 2 +2x+3

Step-by-step explanation:

α and β are the zeroes of the polynomial f(x)=x 2 -5x+k such that α-β=1,find the

value of k. (6)

2. If α and β are the zeroes of the polynomial f(x)=kx 2 +4x+4 such that α 2 +β 2

=24,find the value of K

.(-1,2/3)

3. If α and β are the zeroes of the polynomial f(x)=x 2 -1,find the quadratic equation

whose zeroes are

and . (x 2 +4x+4))

4. Find the zeroes of the polynomial f(x) =x 3 -5x 2 -2x+24,if it is given that the

product of the two

zeroes is 12. (3,4,-2)

5. If the zeroes of the polynomial f(x) =x 3 -12x 2 +39x+k are in A.P,find the value

of k. (-28)

6. If (x+a) is a factor of 2x 2 +2ax+5x+10,find a (2)

7. Divide the following polynomial p(x)by g(x).

(a) p(x)=x 4 +x 3 +2x 2 +3x+4,g(x)=x+2

(b) p(x)=8x 4 +6x 3 -3x 2 +x+6,g(x)=4x 2 +2x+3

8. .Find the zeroes of the following

(a)5x 2 -8x+3 (b)10x 2 +3x+1 (c)3x 2 +9x+6

9. .For what value of k= 3 is the zero of the polynomial 2x 2 +x+k. (-21)

10. If α and β are the zeroes of the polynomial f(x)=x 2 -x-4,find the value of +-. ()

11..Find the zeroes and verify the relationship (a)x 2 +2(b)6x 2 -3-7x.