Problem 11
Answer: -4x^2 - 6 (choice 3)
Work Shown:
P = 4x^2-x+1
Q = -6x^2+x-4
P+Q = sum of P and Q
P+Q = (4x^2-x+1)+(-6x^2+x-4)
P+Q = (4x^2-6x^2)+(-x+x)+(1-4)
P+Q = -2x^2+0x-3
P+Q = -2x^2 - 3
2*(P+Q) = twice the sum of P and Q
2*(P+Q) = 2*(-2x^2 - 3)
2*(P+Q) = 2(-2x^2) + 2(-3)
2*(P+Q) = -4x^2 - 6
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Problem 12
Answer: 6x^3 + 4x^2 - 34 (choice 1)
Work Shown:
y = 3x^3 + x^2 - 5
z = x^2 - 12
2(y+z) = 2(3x^3 + x^2 - 5 + x^2-12)
2(y+z) = 2(3x^3 + 2x^2 - 17)
2(y+z) = 2(3x^3) + 2(2x^2) + 2(-17)
2(y+z) = 6x^3 + 4x^2 - 34
