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Introduction to Polynomials: Practice 1

Section A: Core Practice

Question 1mcq
Factorise x2−16x^{2}-16.
A.(x−4)2(x-4)^{2}
B.(x−4)(x+4)(x-4)(x+4)
C.(x+4)2(x+4)^{2}
D.x(x−4)x(x-4)
Question 2mcq
Expand (x+2)(x+4)(x+2)(x+4).
A.x2+6x+8x^{2}+6x+8
B.x2+8x+6x^{2}+8x+6
C.x2+6x^{2}+6
D.2x+62x+6
Question 3mcq
Use the identity (a+b)2=a2+2ab+b2(a+b)^{2}=a^{2}+2ab+b^{2} to find (x+2)2(x+2)^{2}.
A.x2−4x+4x^{2}-4x+4
B.x2+2x+4x^{2}+2x+4
C.x2+4x+4x^{2}+4x+4
D.00
Question 4mcq
Which value of xx is not allowed in the rational expression 1x−5\frac{1}{x-5}?
A.−5-5
B.00
C.55
D.66
Question 5mcq
What is the value of 2x2−3x+12x^{2}-3x+1 when x=4x=4?
A.−3-3
B.2121
C.4545
D.2323

Section B: Application Practice

Question 6mcq
Factorise x2−16x^{2}-16.
A.(x−4)(x+4)(x-4)(x+4)
B.(x−4)2(x-4)^{2}
C.(x+4)2(x+4)^{2}
D.x(x−4)x(x-4)
Question 7mcq
Expand (x+2)(x+3)(x+2)(x+3).
A.2x+52x+5
B.x2+6x+5x^{2}+6x+5
C.x2+5x^{2}+5
D.x2+5x+6x^{2}+5x+6
Question 8mcq
Use the identity (a+b)2=a2+2ab+b2(a+b)^{2}=a^{2}+2ab+b^{2} to find (x+5)2(x+5)^{2}.
A.x2+10x+10x^{2}+10x+10
B.x2+5x+25x^{2}+5x+25
C.x2+10x+25x^{2}+10x+25
D.x2−10x+25x^{2}-10x+25
Question 9mcq
Which value of xx is not allowed in the rational expression 1x−5\frac{1}{x-5}?
A.00
B.55
C.−5-5
D.66
Question 10mcq
What is the value of 2x2−3x+12x^{2}-3x+1 when x=3x=3?
A.1010
B.−2-2
C.2828
D.1212