Grade 8 - Mathematics 7.51 Polynomials Review Test

Q 1: Divide [(5a)^{3}-(6b)^{3}] by (5a-6b). 25a^{2}-30ab+36b^{2} 25a^{3}+30ab+36b^{3} 25a^{3}+30ab+36b^{2} 25a^{2}+30ab+36b^{2}

Q 2: If x+y = 8, xy = 12, find the value of x^{2}+y^{2}. 44 40 46 42

Q 3: If a+b = 8 and ab = 15, find the value of a^{3}+b^{3}. 157 152 159 153

Q 4: Divide (a^{4}+a^{3}+6a^{2}+9a+7) by (a^{2}+a+2). None of these Quotient=(a^{2}-4) and Remainder=(5a-1) Quotient=(a^{2}+4) and Remainder=(5a+1) Quotient=(a^{2}+4) and Remainder=(5a-1)

Q 5: Find the value of (58)^{2} using formula. 3384 3354 3364 3374

Q 6: Find the product of (2x+2y+2z) (4x^{2}+4y^{2}+4z^{2}-4xy-4yz-4xz). 8x^{3}+8y^{3}+z^{3}-24xyz 8x^{3}+8y^{3}+z^{3}-12xyz 8x^{3}+8y^{3}-z^{3}-24xyz None of these

Q 7: If x-1/x = 10, find the value of x^{3}-1/x^{3}. 1060 1030 1050 1040

Q 8: (6x^{2}+7x-7)(-5x) = _____? -30x^{3}+35x^{2}+35x 30x^{3}-35x^{2}+35x None of these -30x^{3}-35x^{2}+35x

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