The equation can be factored as (x - 5)(x - 5) = 0. Thus, the solution is x = 5 (a repeated root).

Factoring gives (x - 2)(x + 2) = 0. Thus, the solutions are x = 2 and x = -2.

The equation can be factored as (x - 3)(x - 3) = 0. Thus, the solution is x = 3 with multiplicity 2.

Factoring gives (x - 3)(x + 3) = 0. Thus, the solutions are x = 3 and x = -3.

Step 1: Factor the equation: (x + 2)(x + 2) = 0. Step 2: Set the factor to zero: x + 2 = 0. Step 3: Solution is x = -2 (double root).

The nth term of an arithmetic progression is given by a_n = a + (n-1)d. Here, a = 4, d = 5, and n = 3. So, a_3 = 4 + (3-1)5 = 4 + 10 = 14.

The common difference d is found by subtracting the first term from the second term: d = 10 - 7 = 3.

The common difference is found by subtracting the first term from the second: 7 - 3 = 4.

The common ratio is found by dividing the second term by the first: 6/3 = 2.

The degree of a polynomial is the highest power of the variable. Here, the highest power is 4, so the degree is 4.

The degree of a polynomial is the highest power of the variable. Here, the highest power is 4, so the degree is 4.

The degree of a polynomial is the highest power of x. Here, the highest power is 3.

The degree of a polynomial is the highest power of x. Here, the highest power is 3.

The discriminant is calculated as b^2 - 4ac. Here, a = 2, b = 3, c = 1. So, discriminant = 3^2 - 4(2)(1) = 9 - 8 = 1.

The discriminant is given by b^2 - 4ac. Here, a = 2, b = 4, c = 2. So, the discriminant = 4^2 - 4(2)(2) = 16 - 16 = 0.

Calculate the discriminant: D = b^2 - 4ac = 4^2 - 4(2)(2) = 16 - 16 = 0.

The discriminant is given by b^2 - 4ac. Here, a = 3, b = 6, c = 2. Thus, the discriminant = 6^2 - 4*3*2 = 36 - 24 = 12.

The discriminant is given by b^2 - 4ac. Here, a = 3, b = 6, c = 2. Thus, discriminant = 6^2 - 4(3)(2) = 36 - 24 = 12.

The discriminant is given by b^2 - 4ac. Here, a = 1, b = -6, and c = 9. So, the discriminant is (-6)^2 - 4(1)(9) = 36 - 36 = 0.

The slope of the given line is 3.\nThe slope of the perpendicular line is -1/3.\nUsing point-slope form: y - 5 = -1/3(x - 2) gives y = -1/3x + 7.

Calculate the slope: m = (y2 - y1)/(x2 - x1) = (6 - 2)/(3 - 1) = 2.\nUsing point-slope form: y - 2 = 2(x - 1) gives y = 2x.

First, factor out the common term 2x from 2x^2 + 8x. This gives us 2x(x + 4).

Factor out the common term 2: 2(x^2 - 4). Then factor x^2 - 4 as (x - 2)(x + 2). Thus, the final factorization is 2(x - 4)(x + 4).

The greatest common factor is 4x. Factoring it out gives us 4x(x - 3).

Step 1: Find two numbers that multiply to 10 and add to 7: 5 and 2. Step 2: Write in factored form: (x + 5)(x + 2).

To factor x^2 - 5x + 6, we need two numbers that multiply to 6 and add to -5. The numbers -2 and -3 work. Thus, the factored form is (x - 2)(x - 3).

This is a perfect square trinomial. The factored form is (x - 3)(x - 3) or (x - 3)^2.

This is a difference of squares. The factored form is (x - 3)(x + 3).

Step 1: Factor out the common term: 2x(x + 4).

Step 1: Factor out the common term: 2(x^2 - 4). Step 2: Recognize the difference of squares: 2(x - 4)(x + 4).