Mathematics MCQs

Use identity: \\(a^2 - b^2 = (a+b)(a-b)\\). Here, a=2x+5, b=2x-5. So, \\((4x)(10) = 40x\\).

Find factors of 6×3=18 that add to 11: 2 and 9. So, \\(6x^2 + 9x + 2x + 3 = 3x(2x+3) + 1(2x+3) = (3x+1)(2x+3)\\).

The term \\(4x^3y^2\\) has degree 3+2=5, and \\(2xy^4\\) has degree 1+4=5. So, the highest degree is 5.

\\(\\sqrt{x} = x^{1/2}\\) has a fractional exponent, so it is not a polynomial.

Combine like terms: \\((3+2)x^2 + (2-3)x + (-5+4) = 5x^2 - x - 1\\).

\\((5x^2 + x - 2) - (2x^2 - 3x + 1) = 3x^2 + 4x - 3\\).

Use difference of squares: \\(x^2 - 4^2 = x^2 - 16\\).

The general form of a linear equation in one variable is ax + b = 0, where a ? 0.

A linear equation in one variable has only one variable with degree 1. 4x - 7 = 0 fits this form.

Solve: 3x - 1 = 8 ? 3x = 9 ? x = 3.