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Polynomials Class 9 MCQs, 1. Find the product of (x — Lx) (x + Lx) (x? + 1x2), (a) x* + I/x*, (b) x* + /x? -2, (c) xt — U/x*, (d) x? + /x? +2, 2. If xy + yx = -1 (x, y # 0), then find the value of x" — y", (a) 1 (b) -1 (c) 12 (ad) 0, 3. Find the value of 525" ~ 475°., (a) 100 (b) 10000 (c) 50000 (d) 100000, 1. One of the factors of (1 + 3y)* + (Oy* — 1) is, (a)1l-3y (b)3-y (c)3y+1 (d)y-3, 5. One of the factors of (x" — 1) — (x — 1) is, (a)x? +1 (b)x*=1 (e)x—1 (d)x+4, 6. Find the degree of polynomial V2 ., (a) 2 (b) 0 (ce) 1 (d) 12, 7. Find the value of k if xt + kx + 6 = (x + 2) (x + 3) for all k., (a) 1 (b) -1 (ce) 5 (d) 3, 8. If x — 2 is a factor of 5x* — kx — 18, then find the value of k., (a) -1 (b) 1 (c) 0 (d) 5, 9. Find the coefficient of x* in (3x* — 5) (4 + 4x*)., (a) 12 (b) 5 (c) -8 (d) 8, 10. Find the value of p for which x + p is a factor of x + px + 3 —p., (a) 1 (b) -1 (ce) 3 (d) -3, 11. Zero of the polynomial p(x) = ex + d is, , (a) -d (b) -c (c) de (d) -We

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12. Find the remainder on dividing 5y" — 2y* — Ty + 1 by y., (a)-1 (b) 1 (0 (d) 2, , 13. One of the factors of (1Gy? — 1) + (1 — 4y?, , (a) (4 +a) (b) (4 = y) (c) (ly + 1) (d) By, , 14. Ifa +b +c=0, then the value of a® + b* + c*, , (a) abe (b) -3abe (c) 0 (d) 3abe, , 15, If x + y+ 4! = 0, then which one of the expressions is correct., (a) x*+y*+z*=0, , (b) x+y +2= 3x"yl"z"", , (c)xt+y +2= 3xyz, , (d) x" + y* + 2° = 3xvz, , 16. If the area of the rectangle is 4x" + 4x ~ 3, then find its possible, dimensions., , (a) 2x — 3, 2x +1, , (b) 2x —1, 2x +3, , (c) 3x + 1, 2x—3, , (d) 3x — 1, 2x +3, , 17. Ifx + 1/x= 4, then the value of x? + 1/x*, (a) 8 (b) 14 (c) 16 (d) 20, , 18. For what value of b, is the polynomial x" — 3x* + bx — 6 divisible, by x — 3?, , (a) 1 (b) 2 (ec) 3 (d) -3, 19. When p(x) is divided by ax — b, then the remainder is, (a) p (a + b) (b) P(—b/a) (c) pla/b) (d) p(b/a), , 20.What is remainder when x* — 2x* + x + 1 is divided by x — 1”, , (a) 0 (b) -1 (co) 1 (d) 2