4333. Find the remainder when 2x2 – 3x + 5 is divided by 2x-3. Does it exactly divide thepolynomial ? State reason4. Find the remainder when 98 -32+x-5 is divided by r-25. If the polynomials 2x' +ar+ + 3x - 5 andx + x - 4x + a leave the same remainderwhen divided byx-2, find the value of a.I the polynomials+ar+S and X - 2r +a are divided by (x+2) leave the sameremainder, find the value of a.F. Find the remainder when f (x)=x*-37 +4 is divided by g(x)=x-2 and verify theresult by actual divisionFind the remainder when p(x)=3-6x2 + 14x - 3 is divided by g(x) = 1 - 2t andverify the result by long divisionWhen a polynomial 2r +37? + ax + b is divided by (x - 2) leaves remainder 2, and(x+2) leaves remainder -2. Find a and b.FACTORISING A POLYNOMIALAs we have already studied that a polynomial q(x) is said to have divided a polynomialxactly if the remaindex is zero. In this case q(x) is a factor of p(x).ample. When p(x) = 47° +47-x-1 is divided by g(x) = 2x+1, if the remainde(verifyhen 4x? + 4r? -x-1 = 9(x) (2x + 1) +0So p(x) = 90x) (2x + 1)Therefore prx)=2x + is a factor of pix).​