x3 + 13x2 + 42x = x(x + 6)(x + 7).
2 x 7 + 5 = 19
If I do your homework for you, you will fail your test.
5x2 + 3x + 8x2 = 13x2 + 3x = x(13x + 3)
572 Because 2x11=22 and 13x2=26 and 22x26=572.
x3 + 13x2 + 42x = x(x + 6)(x + 7).
The final answer is 112.
It is: (x2 + 5x) (x + 8)
x(x + 8)(x + 5)
2 x 7 + 5 = 19
I'm going to assume the polynomial in question is 2x7+(3-2x3)+(5x8-4x) Expanding out the polynomial: 2x7+3-2x3+5x8-4x Order the terms by powers of x: 5x8+2x7-2x3-4x+3 Since 8 is the highest power of x, the degree of the polynomial is 8.
If I do your homework for you, you will fail your test.
4x4 + 13x2 + 36 is a quadratic in x2. The discriminant is 132 - 4*4*36 = -407. Since the discriminant is negative, the expression has no real roots and so it cannot be factorised (in the normal sense of the term).
5x2 + 3x + 8x2 = 13x2 + 3x = x(13x + 3)
572 Because 2x11=22 and 13x2=26 and 22x26=572.
x3 + 13x2 + 42x = x(x2 + 13x + 42) = x(x2 + 6x + 7x + 42) = x[x(x + 6) + 7(x + 6)] = x(x + 7)(x + 6)
x2 + 12x2 + 35 = 13x2 + 35 which cannot be factorised in any sensible way.