Factor. 4st - s + 16t - 4 ______

Identify Common Factors: Identify the common factors in pairs of terms. Compare 4st - s + 16t - 4 with the general form ax + ay + bx + by. Group the terms: (4st - s) + (16t - 4).Compare with General Form: Factor out the common factors from each group. From the first group (4st - s), factor out s: s(4t - 1). From the second group (16t - 4), factor out 4: 4(4t - 1).Group and Factor Terms: Combine the factored groups. Notice that both groups contain the common factor (4t - 1). Combine the groups using the common factor: (s + 4)(4t - 1).Combine Factored Groups: Check the factored expression by expanding it. Expand (s + 4)(4t - 1) to verify it equals the original expression. s(4t) + s(-1) + 4(4t) + 4(-1) = 4st - s + 16t - 4.

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Algebra 1

Factor polynomials

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Q. Factor.

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4st - s + 16t - 4

Identify Common Factors: Identify the common factors in pairs of terms. $\newline$ Compare $4st - s + 16t - 4$ with the general form $ax + ay + bx + by$ . $\newline$ Group the terms: $(4st - s) + (16t - 4)$ .
Compare with General Form: Factor out the common factors from each group. $\newline$ From the first group $4st - s$ , factor out $s$ : $s(4t - 1)$ . $\newline$ From the second group $16t - 4$ , factor out $4$ : $4(4t - 1)$ .
Group and Factor Terms: Combine the factored groups. $\newline$ Notice that both groups contain the common factor $(4t - 1)$ . $\newline$ Combine the groups using the common factor: $(s + 4)(4t - 1)$ .
Combine Factored Groups: Check the factored expression by expanding it. Expand $(s + 4)(4t - 1)$ to verify it equals the original expression. $s(4t) + s(-1) + 4(4t) + 4(-1) = 4st - s + 16t - 4$ .