Answer:
-9
Step-by-step explanation:
-3*4=-12
-9*3=-27
15*2=30
-12+(-27)=-39
-39+30=-9
The answer is x2(-3x^2-9x+15).
Factor the polynomial –3x4 – 9x3 + 15x2:
step1 split x^4 and x^3 into x^2 to make all terms coefficient equal:
-3x^2x^2 -9x^3+15x^2
step 2 takes x^2 common from all terms of step 1 equation and factoring
x^2(-3x^2-9x+15)
step 3 step 2 equation factoring ( -3x^2-9x+15)
The first term is, x2 its coefficient is 1.
The middle term is, +3x its coefficient is 3.
The last term, "the constant", is +5
Factoring by splitting the middle term:
An expression is in the form of a trinomial ax^2+b^x+c . In some cases, it can be factored by splitting the middle term and the process is called the factorization by splitting the middle term.
Multiply the coefficient of the first term by the constant 1 • 5 = 5
Find two factors of 5 whose sum equals the coefficient of the middle term, which is 3.
-5 + -1 = -6
-1 + -5 = -6
1 + 5 = 6
5 + 1 = 6
no such factors can be factorized .
hence Factor the polynomial –3x4 – 9x3 + 15x2 is x2(-3x^2-9x+15).
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