Question

2.how will you relate the first term in the trinomial with the first terms in the binomial factors?

3.how will you compare the second term in the trinomial and the sum of the inner and the outer product of the terms of binomials?

4.what have you observed about the third term in the trinomial and the product of the second terms in the binomial factors?​

Answer 1

Answer:

1. Factor trinomials with a leading coefficient of 1.

· Factor trinomials with a common factor.

· Factor trinomials with a leading coefficient other than 1

Step-by-step explanation:

2.Factor trinomials of the form .

Factor trinomials with a common factor.

3.The general form of a quadratic trinomial is written as ax2 + bx + c where a, b, and c are constants. The “easy” case happens when the value of aa is equal to +1+1 or - 1−1, that is a = 1a=1 or a = - 1a=−1. You don’t need to write the coefficient of 11 before the {x^2}x

2

term because it is understood.

If you are up for a challenge, I have another lesson on factoring trinomial where the absolute value of the leading coefficient is not equal to 1. It is called Factoring Trinomials (“Hard Case”). Believe me, it is not really that hard. You will just have to perform extra steps.

Thus, the general form of the “easy” case is reduced to

Easy Case of a Trinomial

factoring ax^2+bx+c implies a=1 therefore we can rewrite this as x^2+bx+c

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Answer 2

Answers for following questions

Step-by-step explanation:

2)

• The first term of the trinomial is equal to the product of the first terms of each binomial.
• The sum of the products of the binomials' outer and inner terms is the middle term of the trinomial. The product of each binomial's last terms equals the trinomial's final term.

3)

By multiplying the inner and outer product of the binomial terms, you may find the second term in the trinomial.

EXAMPLE

(x + 4)(x + 5)

4x  is inner

5x is outer

4x + 5x = 9x will be the second term.

4)

• The perfect square trinomial is one of these "simple to factor" polynomials. A trinomial, as we know, is an algebraic statement made up of three terms related by addition or subtraction.

• A binomial, on the other hand, is a two-term expression. As a result, a perfect square trinomial is defined as an expression derived by squaring a binomial equation.