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8. Find the value of each of the following polynomialsat the indicated values of variables :4(i) p(x) = 5x2 -1 - 12' 25(ii) p(x) = 3x3 + 2x - 3x2 + 4; x = 1/2,-1/2(iii) p(y) = 5y2 + 4; y =-2/ √5 ,4√5+(iv) p(y) = 2y2 + 3π2; y = π, -2π |
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Answer» Answer: Step-by-step explanation: 1) p(1)= 5×2-3×1+7 = 10-3+7 =14 Verify whether the values of X GIVEN in each case are the zeros of the polynomial or not. 1 P(x)=2x+1;x=-1/2 P(-1/2) = 2(-1/2) + 1 = -1 + 1 = 0 = 0 2) p(x)=5x-π;x=-3/2 P(-3/2) = 5(-3/2) - π = -15/2 - π ≠ 0 3) p(x)=x²-1;x=+1 P(1) = 1² - 1 = 1 - 1 = 0 = 0 4) p(x)=(x-1)(x+2);x=-1,-2 P(-1) = (-1-1)(-1 + 2) = (-2)(1) = - 1 ≠ 0 P(-2) = (-2 -1)(-2 + 2) = (-3)(0) = 0 = 0 5) P(y)=y²;y=0 P(0) = 0² = 0 = 0 6) p(x)=ax+B;x=-b/a P(-b/a) = a(-b/a) + b = -b + b = 0 = 0 p(2)= 3×2×3-4×2+11 = 18-8+11 =21 in equation THIRD where is t |
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