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One minor correction on your question here - it's not a binomial. A binomial is a polynomial with two terms. This one - having three terms, is a trinomial.
To factor it, you need to find two numbers that multiply to make -45 (the last term), and add to make 4 (the coefficient of the middle term). Once you have those numbers, you can break the equation down. In this case the numbers we need are 9 and -5. Here's how it's done:
x2 + 4x - 45
= x2 - 5x + 9x - 45
= x(x - 5) + 9(x - 5)
= (x + 9)(x - 5)
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What binomial is a factor of this trinomial x2 plus 8x plus 16?
x + 4
What is a binomial factor of the trinomial x2-16 plus 28?
(x - 14)(x - 2)
What binomial is a factor of the trinomial x2-13x plus 40?
(x - 5)(x - 8)
What is 9x plus x2?
A binomial
What is the binomial factor of x2 plus 2x minus 35?
X2 + 2X - 35 What two factors of - 35 add up to 2? (X - 5)(X + 7) -----------------
What binomial is a factor of this trinomial x2 plus 8x plus 16?
x + 4
Binomial factor of this trinomail x2 - 12x plus 35?
x2-12x+35 = (x-5)(x-7)
What binomial is a factor of x2 plus 3x - 18?
The factors are (x + 6) and (x - 3)
What is a binomial factor of the trinomial x2-16 plus 28?
(x - 14)(x - 2)
What binomial is a factor of the trinomial x2-13x plus 40?
(x - 5)(x - 8)
What is 9x plus x2?
A binomial
Which binomial is a factor of x2 plus 14x plus 40?
(x + 10) and (x + 4) are both factors
Which of the binomial below is a factor of this trinomial x2 plus 2x-35?
X2 + 2X - 35(X - 5)(X + 7)================take your pick of these two binomials
What binomial is factor of this trinomial x2 plus 14x plus 40?
x2-7x-44 (x-11)(x+4)
What is the binomial factor of x2 plus 2x minus 35?
X2 + 2X - 35 What two factors of - 35 add up to 2? (X - 5)(X + 7) -----------------
Which binomial is a factor of x2 - 64?
x2-64 = (x-8)(x+8) when factored
Which binomial is a factor of x2 6x 5?
(x + 1)(x + 5)
