Grade 8 - Mathematics 7.51 Polynomials Review Test

Q 1: Expand 27x^{3}+8y^{3}. None of these (3x+2y)(9x^{2}+6xy+4y^{2}) (3x+2y)(9x^{2}-6xy+4y^{2}) (3x+2y)(9x^{2}-6xy+2y^{2})

Q 2: Divide (x^{2}+7x+2) by (x+3). Quotient=(x+4) and Remainder=2 Quotient=(x-4) and Remainder=0 Quotient=(x-4) and Remainder=2 Quotient=(x+4) and Remainder=0

Q 3: If x + 1/x = 5, find the value of x^{2}+1/x^{2} and x^{4}+1/x^{4}. 537 547 527 567

Q 4: If x - 1/x = 3, find the value of x^{2}+1/x^{2} and x^{4}+1/x^{4}. 119 117 113 115

Q 5: (x-1)^{2} = _____? x^{2}+2x+1 x^{2}-2x-1 None of these x^{2}-2x+1

Q 6: Expand (x+2y)^{3} . x^{3}+6x^{2}y+12xy^{2}+8y^{2} x^{3}+6x^{2}y+12xy^{2}+8y^{3} None of these x^{3}+6x^{2}y+12xy^{2}+6y^{3}