Question

Prove that x2+2x+3 has no zero

8. Find the integral zeroes of the polynomial 2x3 +5x2.5x-1.
9. Find the values of a and b so that the polynomial x®-ax2-13x+b has (x-1) and (x+3)
as factors.
10. If x3 +mx2+nx+6 has (x-2) as a factor and leaves remainder 3. when divided by (x-
3) , find the values of m and n.
11. Find the value of p and q so that x-1 and x+1 are factors of 4+px3 +2x2-3x+q.
12. Find a & b such that x+2 and x-2 are factors of the polynomials ax4+2x2-3x2+bx-4
13. If x-3 and -1/3 are both factors of ax2+5x+b, show that a=b
14. Find the value of a-8b3-36 ab-216 when a = 2b +6
15. The polynomials ax3+3x23 and 2x3-5x+a when divided by X-4 leaves the
remainders p and q respectively. Find the value of a if 2p=q.
16. Prove that (x+y)+(y+z) 3 +(+x) 3-3(x+y)(y+z)(2+x)=2(x® +y2 +z2-3xyz)
17. Show that x-y .y-z and z-x are factors of x2 (y-2)+y2 (2-x)+z2 (x-y)
18. Find the value of p and q so that x-1 and x+1 are factors of x4+px2+2x2-3x+q,
19. Find a & b such that x+2 and X-2 are factors of the polynomials ax4 +2x3-3x24bX-4
20. If x-3 and x-1/3 are both factors of ax2 +5x+b, show that a=b​

Answer 1

Answer:

Ask question properly please..

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Answer 2

Answer:

It has no zero because the highest degree is 2 and zero of polynomial can be found when the highest degree will be 1

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