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x2 -7x +6=0 can be factorised by looking at the 7 and the 6 and looking for two numbers that can both add to give -7 and can multiply to give +6.

Possible factors for (numbers that will multiply to give) 6 are:

2 & 3

1 & 6

Now look at the possible sums from these possible factors:

2+3=5 not 7, and making one or more of these negative still won't result in a sum of 7 so we can rule those out.

1+6=7 Good so far! Now look at the sign. We need a negative 7. If both the 1 and the 6 are negative, it will give -7, which is what we are looking for.

-1 x -6 =6 because the two negatives cancel out, which is what we need, so the quadratic can be factorised as:

(x-1)(x-6)=0

Q: Factor the polynomial x2-7x plus 6?

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(5x - 1)(x + 6)

2st4 + s2t2 - 9s5t + 21 The degree of a polynomial with more than one variable is the largest sum of the powers in any single term. So the degree of the given polynomial is 6 (-9s5t1; 5 + 1).

x2 + 7x + 6 = (x + 6) (x + 1)

44x^6 not 44x6 and 8x^5 not 8x5, my bad

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